13213133131231 has 8 divisors (see below), whose sum is σ = 14414887206144. Its totient is φ = 12011472415320.

The previous prime is 13213133131189. The next prime is 13213133131321.

It is a happy number.

13213133131231 is nontrivially palindromic in base 10.

13213133131231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13213133131231 is a prime.

It is a super-2 number, since 2×13213133131231² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13213133131231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213133131631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23043655 + ... + 23610088.

It is an arithmetic number, because the mean of its divisors is an integer number (1801860900768).

Almost surely, 2^{13213133131231} is an apocalyptic number.

13213133131231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13213133131231 is a deficient number, since it is larger than the sum of its proper divisors (1201754074913).

13213133131231 is a wasteful number, since it uses less digits than its factorization.

13213133131231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46679501.

The product of its digits is 2916, while the sum is 28.

It can be divided in two parts, 1321313 and 3131231, that added together give a palindrome (4452544).

The spelling of 13213133131231 in words is "thirteen trillion, two hundred thirteen billion, one hundred thirty-three million, one hundred thirty-one thousand, two hundred thirty-one".