313132120 has 64 divisors (see below), whose sum is σ = 840222720. Its totient is φ = 102689664.

The previous prime is 313132117. The next prime is 313132121. The reversal of 313132120 is 21231313.

It is a junction number, because it is equal to n+sod(n) for n = 313132094 and 313132103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313132121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17872 + ... + 30751.

It is an arithmetic number, because the mean of its divisors is an integer number (13128480).

Almost surely, 2^313132120 is an apocalyptic number.

It is an amenable number.

313132120 is an abundant number, since it is smaller than the sum of its proper divisors (527090600).

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

313132120 is a wasteful number, since it uses less digits than its factorization.

313132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48664 (or 48660 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 313132120 is about 17695.5395509716. The cubic root of 313132120 is about 679.0616526925.

Adding to 313132120 its reverse (21231313), we get a palindrome (334363433).

It can be divided in two parts, 31313 and 2120, that added together give a palindrome (33433).

The spelling of 313132120 in words is "three hundred thirteen million, one hundred thirty-two thousand, one hundred twenty".