313031320 has 64 divisors (see below), whose sum is σ = 812980800. Its totient is φ = 106252800.

The previous prime is 313031293. The next prime is 313031333. The reversal of 313031320 is 23130313.

313031320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 313031294 and 313031303.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22746 + ... + 33814.

It is an arithmetic number, because the mean of its divisors is an integer number (12702825).

Almost surely, 2^313031320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406490400).

313031320 is an abundant number, since it is smaller than the sum of its proper divisors (499949480).

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

313031320 is a wasteful number, since it uses less digits than its factorization.

313031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11188 (or 11184 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 313031320 is about 17692.6911463463. The cubic root of 313031320 is about 678.9887795543.

Adding to 313031320 its reverse (23130313), we get a palindrome (336161633).

It can be divided in two parts, 31303 and 1320, that added together give a palindrome (32623).

The spelling of 313031320 in words is "three hundred thirteen million, thirty-one thousand, three hundred twenty".