313852100 has 18 divisors (see below), whose sum is σ = 681059274. Its totient is φ = 125540800.

The previous prime is 313852087. The next prime is 313852103. The reversal of 313852100 is 1258313.

313852100 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 3 ways, for example, as 1552516 + 312299584 = 1246^2 + 17672^2 .

It is not an unprimeable number, because it can be changed into a prime (313852103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1569161 + ... + 1569360.

Almost surely, 2^313852100 is an apocalyptic number.

It is an amenable number.

313852100 is an abundant number, since it is smaller than the sum of its proper divisors (367207174).

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

313852100 is a wasteful number, since it uses less digits than its factorization.

313852100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138535 (or 3138528 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 313852100 is about 17715.8714152028. The cubic root of 313852100 is about 679.5817064125.

The spelling of 313852100 in words is "three hundred thirteen million, eight hundred fifty-two thousand, one hundred".