313013331120 has 320 divisors, whose sum is σ = 1142120042496. Its totient is φ = 69417492480.

The previous prime is 313013331101. The next prime is 313013331139. The reversal of 313013331120 is 21133310313.

It is an interprime number because it is at equal distance from previous prime (313013331101) and next prime (313013331139).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22805860 + ... + 22819580.

Almost surely, 2^313013331120 is an apocalyptic number.

313013331120 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 313013331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571060021248).

313013331120 is an abundant number, since it is smaller than the sum of its proper divisors (829106711376).

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

313013331120 is a wasteful number, since it uses less digits than its factorization.

313013331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14148 (or 14142 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 313013331120 its reverse (21133310313), we get a palindrome (334146641433).

The spelling of 313013331120 in words is "three hundred thirteen billion, thirteen million, three hundred thirty-one thousand, one hundred twenty".