313130113120 has 192 divisors, whose sum is σ = 812985465600. Its totient is φ = 113026959360.

The previous prime is 313130113099. The next prime is 313130113129. The reversal of 313130113120 is 21311031313.

It is a super-2 number, since 2×313130113120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313130113129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214618951 + ... + 214620409.

It is an arithmetic number, because the mean of its divisors is an integer number (4234299300).

Almost surely, 2^313130113120 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 313130113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406492732800).

313130113120 is an abundant number, since it is smaller than the sum of its proper divisors (499855352480).

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

313130113120 is a wasteful number, since it uses less digits than its factorization.

313130113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 313130113120 its reverse (21311031313), we get a palindrome (334441144433).

The spelling of 313130113120 in words is "three hundred thirteen billion, one hundred thirty million, one hundred thirteen thousand, one hundred twenty".