31023122132013 has 128 divisors (see below), whose sum is σ = 46400452300800. Its totient is φ = 18280144281600.

The previous prime is 31023122131931. The next prime is 31023122132039.

31023122132013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31023122132013 - 2³⁰ = 31022048390189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31023122132413) 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, 41979867198 + ... + 41979867936.

It is an arithmetic number, because the mean of its divisors is an integer number (362503533600).

Almost surely, 2^{31023122132013} is an apocalyptic number.

31023122132013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31023122132013 is a deficient number, since it is larger than the sum of its proper divisors (15377330168787).

31023122132013 is a wasteful number, since it uses less digits than its factorization.

31023122132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683.

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

It can be divided in two parts, 3102312 and 2132013, that added together give a palindrome (5234325).

The spelling of 31023122132013 in words is "thirty-one trillion, twenty-three billion, one hundred twenty-two million, one hundred thirty-two thousand, thirteen".