313313100 has 72 divisors (see below), whose sum is σ = 937804560. Its totient is φ = 80666880.

The previous prime is 313313081. The next prime is 313313101. The reversal of 313313100 is 1313313.

It is a super-2 number, since 2×313313100² = 196330197263220000, 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 313313100.

It is not an unprimeable number, because it can be changed into a prime (313313101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9307 + ... + 26706.

Almost surely, 2^313313100 is an apocalyptic number.

313313100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313313100 is an abundant number, since it is smaller than the sum of its proper divisors (624491460).

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

313313100 is a wasteful number, since it uses less digits than its factorization.

313313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36059 (or 36052 counting only the distinct ones).

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

The square root of 313313100 is about 17700.6525303447. The cubic root of 313313100 is about 679.1924525487.

Adding to 313313100 its reverse (1313313), we get a palindrome (314626413).

The spelling of 313313100 in words is "three hundred thirteen million, three hundred thirteen thousand, one hundred".