313313520 has 160 divisors (see below), whose sum is σ = 1055057472. Its totient is φ = 76455936.

The previous prime is 313313503. The next prime is 313313563. The reversal of 313313520 is 25313313.

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 31 ways as a sum of consecutive naturals, for example, 427074 + ... + 427806.

Almost surely, 2^313313520 is an apocalyptic number.

313313520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313313520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527528736).

313313520 is an abundant number, since it is smaller than the sum of its proper divisors (741743952).

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

313313520 is a wasteful number, since it uses less digits than its factorization.

313313520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 313313520 is about 17700.6643943102. The cubic root of 313313520 is about 679.1927560371.

Adding to 313313520 its reverse (25313313), we get a palindrome (338626833).

It can be divided in two parts, 3133 and 13520, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 313313520 in words is "three hundred thirteen million, three hundred thirteen thousand, five hundred twenty".