13120233202131 has 128 divisors (see below), whose sum is σ = 20315967823872. Its totient is φ = 7459153920000.

The previous prime is 13120233202091. The next prime is 13120233202213.

13120233202131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13120233202131 - 2⁷ = 13120233202003 is a prime.

It is a super-2 number, since 2×13120233202131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13120233202231) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1033326975 + ... + 1033339671.

It is an arithmetic number, because the mean of its divisors is an integer number (158718498624).

Almost surely, 2^{13120233202131} is an apocalyptic number.

13120233202131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13120233202131 is a deficient number, since it is larger than the sum of its proper divisors (7195734621741).

13120233202131 is a wasteful number, since it uses less digits than its factorization.

13120233202131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13053.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1312023 and 3202131, that added together give a palindrome (4514154).

The spelling of 13120233202131 in words is "thirteen trillion, one hundred twenty billion, two hundred thirty-three million, two hundred two thousand, one hundred thirty-one".