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12001313211313 = 29216979840467
BaseRepresentation
bin1010111010100100011000…
…0000101100001110110001
31120111022111011010011001111
42232221012000230032301
53033112142140230223
641305154400433321
72346031505065636
oct256510600541661
946438434104044
1012001313211313
113907801485a08
121419b27618841
136909467a1cba
142d6c1c17c18d
1515c2ad37030d
hexaea4602c3b1

12001313211313 has 12 divisors (see below), whose sum is σ = 12430168723440. Its totient is φ = 11586778579376.

The previous prime is 12001313211253. The next prime is 12001313211323. The reversal of 12001313211313 is 31311231310021.

It is a de Polignac number, because none of the positive numbers 2k-12001313211313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001313211323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13859106 + ... + 14699572.

It is an arithmetic number, because the mean of its divisors is an integer number (1035847393620).

Almost surely, 212001313211313 is an apocalyptic number.

It is an amenable number.

12001313211313 is a deficient number, since it is larger than the sum of its proper divisors (428855512127).

12001313211313 is an equidigital number, since it uses as much as digits as its factorization.

12001313211313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857504 (or 857475 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 12001313211313 its reverse (31311231310021), we get a palindrome (43312544521334).

The spelling of 12001313211313 in words is "twelve trillion, one billion, three hundred thirteen million, two hundred eleven thousand, three hundred thirteen".

Divisors: 1 29 841 16979 492391 840467 14279339 24373543 706832747 14270289193 413838386597 12001313211313