313312000 has 72 divisors (see below), whose sum is σ = 780579072. Its totient is φ = 125312000.

The previous prime is 313311997. The next prime is 313312039. The reversal of 313312000 is 213313.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27105 + ... + 36895.

It is an arithmetic number, because the mean of its divisors is an integer number (10841376).

Almost surely, 2^313312000 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 313312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390289536).

313312000 is an abundant number, since it is smaller than the sum of its proper divisors (467267072).

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

313312000 is an frugal number, since it uses more digits than its factorization.

313312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9822 (or 9798 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 313312000 is about 17700.6214580167. The cubic root of 313312000 is about 679.1916576968.

Adding to 313312000 its reverse (213313), we get a palindrome (313525313).

The spelling of 313312000 in words is "three hundred thirteen million, three hundred twelve thousand".