313312100 has 72 divisors (see below), whose sum is σ = 698371968. Its totient is φ = 121968000.

The previous prime is 313312079. The next prime is 313312123. The reversal of 313312100 is 1213313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676469 + ... + 676931.

Almost surely, 2^313312100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349185984).

313312100 is an abundant number, since it is smaller than the sum of its proper divisors (385059868).

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

313312100 is a wasteful number, since it uses less digits than its factorization.

313312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 313312100 is about 17700.6242827760. The cubic root of 313312100 is about 679.1917299561.

Adding to 313312100 its reverse (1213313), we get a palindrome (314525413).

The spelling of 313312100 in words is "three hundred thirteen million, three hundred twelve thousand, one hundred".