12331131313311 has 48 divisors (see below), whose sum is σ = 18635724656640. Its totient is φ = 7842325993920.

The previous prime is 12331131313307. The next prime is 12331131313339. The reversal of 12331131313311 is 11331313113321.

12331131313311 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 1 + 31 + 313 + 311 = 666.

It is not a de Polignac number, because 12331131313311 - 2² = 12331131313307 is a prime.

It is a super-2 number, since 2×12331131313311² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331131313301) 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, 336245506 + ... + 336282176.

It is an arithmetic number, because the mean of its divisors is an integer number (388244263680).

Almost surely, 2^{12331131313311} is an apocalyptic number.

12331131313311 is a deficient number, since it is larger than the sum of its proper divisors (6304593343329).

12331131313311 is a wasteful number, since it uses less digits than its factorization.

12331131313311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40996 (or 40993 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

Adding to 12331131313311 its reverse (11331313113321), we get a palindrome (23662444426632).

The spelling of 12331131313311 in words is "twelve trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred thirteen thousand, three hundred eleven".