313713116100 has 144 divisors (see below), whose sum is σ = 1052378893440. Its totient is φ = 80019561600.

The previous prime is 313713116063. The next prime is 313713116107. The reversal of 313713116100 is 1611317313.

313713116100 is a `hidden beast` number, since 3 + 1 + 37 + 1 + 3 + 11 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (313713116107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2463771 + ... + 2587970.

It is an arithmetic number, because the mean of its divisors is an integer number (7308186760).

Almost surely, 2^313713116100 is an apocalyptic number.

313713116100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313713116100 is an abundant number, since it is smaller than the sum of its proper divisors (738665777340).

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

313713116100 is a wasteful number, since it uses less digits than its factorization.

313713116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051787 (or 5051774 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 313713116100 in words is "three hundred thirteen billion, seven hundred thirteen million, one hundred sixteen thousand, one hundred".