313331320 has 32 divisors (see below), whose sum is σ = 707565600. Its totient is φ = 124875648.

The previous prime is 313331309. The next prime is 313331321. The reversal of 313331320 is 23133313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313331321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3060 + ... + 25219.

It is an arithmetic number, because the mean of its divisors is an integer number (22111425).

Almost surely, 2^313331320 is an apocalyptic number.

It is an amenable number.

313331320 is an abundant number, since it is smaller than the sum of its proper divisors (394234280).

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

313331320 is a wasteful number, since it uses less digits than its factorization.

313331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28567 (or 28563 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 313331320 is about 17701.1671931542. The cubic root of 313331320 is about 679.2056179165.

Adding to 313331320 its reverse (23133313), we get a palindrome (336464633).

It can be divided in two parts, 3133 and 31320, that added together give a triangular number (34453 = T₂₆₂).

The spelling of 313331320 in words is "three hundred thirteen million, three hundred thirty-one thousand, three hundred twenty".