12310013131013 has 32 divisors (see below), whose sum is σ = 13460645869440. Its totient is φ = 11189825740800.

The previous prime is 12310013130997. The next prime is 12310013131019. The reversal of 12310013131013 is 31013131001321.

12310013131013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12310013131013 - 2⁴ = 12310013130997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310013131019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988670438 + ... + 988682888.

It is an arithmetic number, because the mean of its divisors is an integer number (420645183420).

Almost surely, 2^{12310013131013} is an apocalyptic number.

12310013131013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12310013131013 is a deficient number, since it is larger than the sum of its proper divisors (1150632738427).

12310013131013 is a wasteful number, since it uses less digits than its factorization.

12310013131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16869.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 12310013131013 its reverse (31013131001321), we get a palindrome (43323144132334).

The spelling of 12310013131013 in words is "twelve trillion, three hundred ten billion, thirteen million, one hundred thirty-one thousand, thirteen".