313131120 has 40 divisors (see below), whose sum is σ = 970707216. Its totient is φ = 83501568.

The previous prime is 313131107. The next prime is 313131127. The reversal of 313131120 is 21131313.

313131120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 313131120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313131127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 652117 + ... + 652596.

Almost surely, 2^313131120 is an apocalyptic number.

313131120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313131120 is an abundant number, since it is smaller than the sum of its proper divisors (657576096).

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

313131120 is a wasteful number, since it uses less digits than its factorization.

313131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304729 (or 1304723 counting only the distinct ones).

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

The square root of 313131120 is about 17695.5112952409. The cubic root of 313131120 is about 679.0609298215.

Adding to 313131120 its reverse (21131313), we get a palindrome (334262433).

The spelling of 313131120 in words is "three hundred thirteen million, one hundred thirty-one thousand, one hundred twenty".