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13311212121333 = 3276117919350589
BaseRepresentation
bin1100000110110100001000…
…0100011110110011110101
31202010112120021000100000200
43001231002010132303311
53221042330300340313
644151030400231113
72542463150110320
oct301550204366365
952115507010020
1013311212121333
114272287246775
1215ab97600b499
1375731b650c39
143403a22937b7
151813c6335b73
hexc1b4211ecf5

13311212121333 has 48 divisors (see below), whose sum is σ = 22459068777600. Its totient is φ = 7439914074240.

The previous prime is 13311212121287. The next prime is 13311212121343. The reversal of 13311212121333 is 33312121211331.

13311212121333 is a `hidden beast` number, since 1 + 3 + 3 + 112 + 1 + 212 + 1 + 333 = 666.

It is not a de Polignac number, because 13311212121333 - 226 = 13311145012469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13311212121297 and 13311212121306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311212121343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8987398 + ... + 10363191.

It is an arithmetic number, because the mean of its divisors is an integer number (467897266200).

Almost surely, 213311212121333 is an apocalyptic number.

It is an amenable number.

13311212121333 is a deficient number, since it is larger than the sum of its proper divisors (9147856656267).

13311212121333 is a wasteful number, since it uses less digits than its factorization.

13311212121333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19350842 (or 19350839 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 13311212121333 its reverse (33312121211331), we get a palindrome (46623333332664).

The spelling of 13311212121333 in words is "thirteen trillion, three hundred eleven billion, two hundred twelve million, one hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 61 63 179 183 427 537 549 1253 1281 1611 3759 3843 10919 11277 32757 76433 98271 229299 687897 19350589 58051767 135454123 174155301 406362369 1180385929 1219087107 3463755431 3541157787 8262701503 10391266293 10623473361 24246288017 24788104509 31173798879 72738864051 74364313527 211289081291 218216592153 633867243873 1479023569037 1901601731619 4437070707111 13311212121333