13013233231031 has 16 divisors (see below), whose sum is σ = 14277153052800. Its totient is φ = 11762811237600.

The previous prime is 13013233231027. The next prime is 13013233231081.

13013233231031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13013233231031 - 2² = 13013233231027 is a prime.

It is a super-2 number, since 2×13013233231031² (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 (13013233231081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17536685 + ... + 18263673.

It is an arithmetic number, because the mean of its divisors is an integer number (892322065800).

Almost surely, 2^{13013233231031} is an apocalyptic number.

13013233231031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13013233231031 is a deficient number, since it is larger than the sum of its proper divisors (1263919821769).

13013233231031 is a wasteful number, since it uses less digits than its factorization.

13013233231031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736270.

The product of its (nonzero) digits is 2916, while the sum is 26.

It can be divided in two parts, 1301323 and 3231031, that added together give a palindrome (4532354).

The spelling of 13013233231031 in words is "thirteen trillion, thirteen billion, two hundred thirty-three million, two hundred thirty-one thousand, thirty-one".