313001120 has 24 divisors (see below), whose sum is σ = 739465524. Its totient is φ = 125200384.

The previous prime is 313001111. The next prime is 313001149. The reversal of 313001120 is 21100313.

It can be written as a sum of positive squares in 2 ways, for example, as 303735184 + 9265936 = 17428^2 + 3044^2 .

It is a super-2 number, since 2×313001120² = 195939402242508800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 977969 + ... + 978288.

Almost surely, 2^313001120 is an apocalyptic number.

It is an amenable number.

313001120 is an abundant number, since it is smaller than the sum of its proper divisors (426464404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313001120 is a wasteful number, since it uses less digits than its factorization.

313001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956272 (or 1956264 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 313001120 is about 17691.8376659973. The cubic root of 313001120 is about 678.9669434852.

Adding to 313001120 its reverse (21100313), we get a palindrome (334101433).

The spelling of 313001120 in words is "three hundred thirteen million, one thousand, one hundred twenty".