313113300 has 72 divisors (see below), whose sum is σ = 907754400. Its totient is φ = 83329920.

The previous prime is 313113289. The next prime is 313113323. The reversal of 313113300 is 3311313.

313113300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 313113300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248071 + ... + 249329.

It is an arithmetic number, because the mean of its divisors is an integer number (12607700).

Almost surely, 2^313113300 is an apocalyptic number.

313113300 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 313113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453877200).

313113300 is an abundant number, since it is smaller than the sum of its proper divisors (594641100).

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

313113300 is a wasteful number, since it uses less digits than its factorization.

313113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 313113300 is about 17695.0077705549. The cubic root of 313113300 is about 679.0480480024.

Adding to 313113300 its reverse (3311313), we get a palindrome (316424613).

The spelling of 313113300 in words is "three hundred thirteen million, one hundred thirteen thousand, three hundred".