313121320 has 16 divisors (see below), whose sum is σ = 704523060. Its totient is φ = 125248512.

The previous prime is 313121293. The next prime is 313121321. The reversal of 313121320 is 23121313.

It can be written as a sum of positive squares in 2 ways, for example, as 298391076 + 14730244 = 17274^2 + 3838^2 .

It is a super-2 number, since 2×313121320² = 196089922077084800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313121294 and 313121303.

It is not an unprimeable number, because it can be changed into a prime (313121321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3913977 + ... + 3914056.

Almost surely, 2^313121320 is an apocalyptic number.

It is an amenable number.

313121320 is an abundant number, since it is smaller than the sum of its proper divisors (391401740).

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

313121320 is a wasteful number, since it uses less digits than its factorization.

313121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7828044 (or 7828040 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 313121320 is about 17695.2343866929. The cubic root of 313121320 is about 679.0538456044.

Adding to 313121320 its reverse (23121313), we get a palindrome (336242633).

The spelling of 313121320 in words is "three hundred thirteen million, one hundred twenty-one thousand, three hundred twenty".