313133100 has 72 divisors (see below), whose sum is σ = 1035433728. Its totient is φ = 71572800.

The previous prime is 313133087. The next prime is 313133111. The reversal of 313133100 is 1331313.

It is a super-2 number, since 2×313133100² = 196104676631220000, which contains 22 as substring.

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 313133100.

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, 72456 + ... + 76655.

It is an arithmetic number, because the mean of its divisors is an integer number (14381024).

Almost surely, 2^313133100 is an apocalyptic number.

313133100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313133100 is an abundant number, since it is smaller than the sum of its proper divisors (722300628).

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

313133100 is a wasteful number, since it uses less digits than its factorization.

313133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149135 (or 149128 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 313133100 is about 17695.5672415439. The cubic root of 313133100 is about 679.0623611046.

Adding to 313133100 its reverse (1331313), we get a palindrome (314464413).

The spelling of 313133100 in words is "three hundred thirteen million, one hundred thirty-three thousand, one hundred".