313416050372100 has 216 divisors, whose sum is σ = 1060789640702792. Its totient is φ = 76941732556800.

The previous prime is 313416050372057. The next prime is 313416050372137. The reversal of 313416050372100 is 1273050614313.

313416050372100 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 1 + 605 + 0 + 37 + 2 + 10 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 242703558470916 + 70712491901184 = 15578946^2 + 8409072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31544341 + ... + 40272540.

Almost surely, 2^{313416050372100} is an apocalyptic number.

313416050372100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313416050372100 is an abundant number, since it is smaller than the sum of its proper divisors (747373590330692).

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

313416050372100 is a wasteful number, since it uses less digits than its factorization.

313416050372100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71817287 (or 71817277 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 313416050372100 in words is "three hundred thirteen trillion, four hundred sixteen billion, fifty million, three hundred seventy-two thousand, one hundred".