13042355324031 has 24 divisors (see below), whose sum is σ = 20755071314640. Its totient is φ = 7826195808000.

The previous prime is 13042355323981. The next prime is 13042355324057.

13042355324031 is a `hidden beast` number, since 1 + 30 + 4 + 2 + 3 + 553 + 2 + 40 + 31 = 666.

13042355324031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13042355324031 - 2³¹ = 13040207840383 is a prime.

It is a super-2 number, since 2×13042355324031² (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 (13042355324231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652172986 + ... + 652192983.

It is an arithmetic number, because the mean of its divisors is an integer number (864794638110).

Almost surely, 2^{13042355324031} is an apocalyptic number.

13042355324031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13042355324031 is a deficient number, since it is larger than the sum of its proper divisors (7712715990609).

13042355324031 is a wasteful number, since it uses less digits than its factorization.

13042355324031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304366087 (or 1304366084 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 1304235 and 5324031, that added together give a palindrome (6628266).

The spelling of 13042355324031 in words is "thirteen trillion, forty-two billion, three hundred fifty-five million, three hundred twenty-four thousand, thirty-one".