313311120 has 80 divisors (see below), whose sum is σ = 973009152. Its totient is φ = 83399680.

The previous prime is 313311113. The next prime is 313311133. The reversal of 313311120 is 21113313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313311120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217924 + ... + 219356.

Almost surely, 2^313311120 is an apocalyptic number.

313311120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313311120 is an abundant number, since it is smaller than the sum of its proper divisors (659698032).

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

313311120 is a wasteful number, since it uses less digits than its factorization.

313311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 313311120 is about 17700.5966001149. The cubic root of 313311120 is about 679.1910218139.

Adding to 313311120 its reverse (21113313), we get a palindrome (334424433).

The spelling of 313311120 in words is "three hundred thirteen million, three hundred eleven thousand, one hundred twenty".