313133130 has 48 divisors (see below), whose sum is σ = 827507304. Its totient is φ = 82131840.

The previous prime is 313133123. The next prime is 313133159. The reversal of 313133130 is 31331313.

313133130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 82791801 + 230341329 = 9099^2 + 15177^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23029 + ... + 34008.

Almost surely, 2^313133130 is an apocalyptic number.

313133130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313133130 is an abundant number, since it is smaller than the sum of its proper divisors (514374174).

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

313133130 is a wasteful number, since it uses less digits than its factorization.

313133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57111 (or 57108 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 313133130 is about 17695.5680892138. The cubic root of 313133130 is about 679.0623827906.

Adding to 313133130 its reverse (31331313), we get a palindrome (344464443).

It can be divided in two parts, 31313 and 3130, that added together give a palindrome (34443).

The spelling of 313133130 in words is "three hundred thirteen million, one hundred thirty-three thousand, one hundred thirty".