313578875313 has 48 divisors (see below), whose sum is σ = 510739152000. Its totient is φ = 190008482400.

The previous prime is 313578875297. The next prime is 313578875341.

313578875313 is a `hidden beast` number, since 3 + 1 + 3 + 578 + 8 + 7 + 53 + 13 = 666.

313578875313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313578875313 - 2⁴ = 313578875297 is a prime.

It is a super-2 number, since 2×313578875313² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313578875313.

It is not an unprimeable number, because it can be changed into a prime (313578874313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27146263 + ... + 27157811.

It is an arithmetic number, because the mean of its divisors is an integer number (10640399000).

Almost surely, 2^313578875313 is an apocalyptic number.

313578875313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313578875313 is a deficient number, since it is larger than the sum of its proper divisors (197160276687).

313578875313 is a wasteful number, since it uses less digits than its factorization.

313578875313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19891 (or 19874 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 313578875313 in words is "three hundred thirteen billion, five hundred seventy-eight million, eight hundred seventy-five thousand, three hundred thirteen".