313130120 has 64 divisors (see below), whose sum is σ = 725034240. Its totient is φ = 121638400.

The previous prime is 313130113. The next prime is 313130159. The reversal of 313130120 is 21031313.

It is a junction number, because it is equal to n+sod(n) for n = 313130095 and 313130104.

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, 706619 + ... + 707061.

It is an arithmetic number, because the mean of its divisors is an integer number (11328660).

Almost surely, 2^313130120 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 313130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362517120).

313130120 is an abundant number, since it is smaller than the sum of its proper divisors (411904120).

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

313130120 is a wasteful number, since it uses less digits than its factorization.

313130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 313130120 is about 17695.4830394652. The cubic root of 313130120 is about 679.0602069490.

Adding to 313130120 its reverse (21031313), we get a palindrome (334161433).

The spelling of 313130120 in words is "three hundred thirteen million, one hundred thirty thousand, one hundred twenty".