313938839313 has 16 divisors (see below), whose sum is σ = 507375902400. Its totient is φ = 190265963040.

The previous prime is 313938839251. The next prime is 313938839327.

313938839313 is a `hidden beast` number, since 313 + 9 + 3 + 8 + 8 + 3 + 9 + 313 = 666.

313938839313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313938839313 - 2⁸ = 313938839057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313938839313.

It is not an unprimeable number, because it can be changed into a prime (313938839353) 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, 528516268 + ... + 528516861.

It is an arithmetic number, because the mean of its divisors is an integer number (31710993900).

Almost surely, 2^313938839313 is an apocalyptic number.

313938839313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313938839313 is a deficient number, since it is larger than the sum of its proper divisors (193437063087).

313938839313 is a wasteful number, since it uses less digits than its factorization.

313938839313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057033149 (or 1057033143 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The spelling of 313938839313 in words is "three hundred thirteen billion, nine hundred thirty-eight million, eight hundred thirty-nine thousand, three hundred thirteen".