We living creatures are the mud that gets to sit up and look around at all the other mud. And then we lay back down again. Lucky us; lucky mud.
- Kurt Vonnegut

Kurt Vonnegut Memorial
Credit: Vidiot
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Eleven is an unbalanced number, a prime number we cannot count to on our hands; yet, there is a fractal-like nature to 11, a number whose first digit represents the second digit to the power of 10. The same holds true for single digit numbers multiplied by 11, such as 22, 33, 44… 99. We use a base-10 number system because we have 10 digits on our hands, a society using base-11 would need one extra digit on one hand. They would be asymmetrical beings.
Such a society, as implausible as it sounds, would fit perfectly in Kurt Vonnegut’s SF universe. In his book Galapagos human survivors of an apocalypse stranded on the island evolve flippers and become aquatic, in Slapstick mutant siblings become super-geniuses through incest (hi ho), in Timequake a temporal hiccup forces everyone to relive the last decade over again exactly as it happened before, in The Sirens of Titan all of human history is the result of alien race’s manipulations to produce a replacement part for a stranded robot, and in Slaughterhouse-Five a WWII soldier becomes unstuck in time, traveling back and forth to points throughout his life, including a point where he is an exhibit in an alien zoo. Vonnegut indisputably wrote science fiction, but took issue with being categorized as such. Still, he praised the genre for bridging the gap between C.P. Snow’s two cultures:
But listen–about the editors and anthologists and publishers who keep the science-fiction field separate and alive: they are uniformly brilliant and sensitive and well-informed. They are among the precious few Americans in whose minds C.P. Snow’s two cultures sweetly intertwine. They publish so much bad stuff because good stuff is hard to find, and because they feel it is their duty to encourage any writer, no matter how frightful, who has guts enough to include technology in the human equation. Good for them. They want buxom images of the new reality.
Born on 11/11/1922 or 19221111, I’d like to suggest “Powers of Eleven Day” to celebrate Kurt Vonnegut’s legacy. This coincides perfectly with the fact that 11/11 is also Veterans Day, as Kurt Vonnegut was a WWII veteran who survived the Bombing of Dresden as a POW, and the fact that Veterans Day takes place on the anniversary of the signing of the Armistice that ended World War I, which occured at the 11th hour of the 11th day of the 11th month of 1918.
Fun facts about 11:

Centered Decagonal Numbers
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11 is a Centered Decagonal Number.
11 is the first number which cannot be represented by a human counting his or her eight fingers and two thumbs additively.
Eleven is the smallest positive integer requiring three syllables in English, and it is also the largest prime number with a single-morpheme name in English.
11 is the 5th smallest prime number.

M-Theory
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The number of space-time dimensions in M-theory.
11 is the atomic number of sodium.
A complete eleventh chord has almost every note of a diatonic scale.
The powers of 11 can be extracted from Pascal’s triangle by reading across the rows and interpreting the digits as a place value system.
11 is a Lucas number.

Undecagon
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An eleven-sided polygon is called a hendecagon or undecagon.
11 is the fourth number that stays the same when written upside down.
11 is a Super Catalan Number.
11 in Binary is 1011
Binary 11 is 3 in decimal.
-11 is a Heegner Number.
the 11-cell (or hendecachoron) is a self-dual abstract regular 4-polytope.

11-cell hendecachoron
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When multiplying 11 against a 1 digit number, replicate the digit so that 9 X 11 = 99.
When multiplying 11 against a 2 digit number, add the two digits together and place the result in the middle so that 69 X 11 = 759 or 6(6+9)9 becomes 6(15)9 becomes (6+1)59 becomes 759.
In base 10, 11 is the only integer that is not a Nivenmorphic number.
The approximate periodicity of a sunspot cycle is 11 years.
11:11 has a lot of meaning in some fruity New Age ideas.
From School House Rock The Good Eleven by Bob Dorough:
Powers of eleven (via quadibloc)
2 121
3 1331
4 14641
5 161051
6 1771561
7 19487171
8 214358881
9 2357947691
10 2 5937424601
11 28 5311670611
12 313 8428376721
13 3452 2712143931
14 37974 9833583241
15 417724 8169415651
16 4594972 9863572161
17 50544702 8499293771
18 555991731 3492231481
19 6115909044 8414546291
20 6 7274999493 2560009201
21 74 0024994425 8160101211
22 814 0274938683 9761113321
23 8954 3024325523 7372246531
24 98497 3267580761 1094711841
25 1083470 5943388372 2041830251
26 11918176 5377272094 2460132761
27 131099941 9149993036 7061460371
28 1442099361 0649923403 7676064081
29 1 5863092971 7149157441 4436704891
30 17 4494022688 8640731855 8803753801
31 191 9434249577 5048050414 6841291811
32 2111 3776745352 5528554561 5254209921
33 23225 1544198878 0814100176 7796309131
34 255476 6986187658 8955101944 5759400441
35 2810243 6848064247 8506121390 3353404851
36 30912680 5328706726 3567335293 6887453361
37 340039485 8615773989 9240688230 5761986971
38 3740434344 4773513889 1647570536 3381856681