313312200 has 96 divisors (see below), whose sum is σ = 974268000. Its totient is φ = 83292160.

The previous prime is 313312123. The next prime is 313312213. The reversal of 313312200 is 2213313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313312200.

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, 268819 + ... + 269981.

It is an arithmetic number, because the mean of its divisors is an integer number (10148625).

Almost surely, 2^313312200 is an apocalyptic number.

313312200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487134000).

313312200 is an abundant number, since it is smaller than the sum of its proper divisors (660955800).

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

313312200 is a wasteful number, since it uses less digits than its factorization.

313312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 313312200 is about 17700.6271075349. The cubic root of 313312200 is about 679.1918022154.

Adding to 313312200 its reverse (2213313), we get a palindrome (315525513).

The spelling of 313312200 in words is "three hundred thirteen million, three hundred twelve thousand, two hundred".