313387236100 has 243 divisors, whose sum is σ = 750894526263. Its totient is φ = 113502597120.

The previous prime is 313387236089. The next prime is 313387236119. The reversal of 313387236100 is 1632783313.

The square root of 313387236100 is 559810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 289975788036 + 23411448064 = 538494^2 + 153008^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313387236100.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3521204856 + ... + 3521204944.

Almost surely, 2^313387236100 is an apocalyptic number.

313387236100 is the 559810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313387236100

313387236100 is an abundant number, since it is smaller than the sum of its proper divisors (437507290163).

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

313387236100 is a wasteful number, since it uses less digits than its factorization.

313387236100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 313387236100 in words is "three hundred thirteen billion, three hundred eighty-seven million, two hundred thirty-six thousand, one hundred".