313113000 has 256 divisors, whose sum is σ = 1044576000. Its totient is φ = 77952000.

The previous prime is 313112999. The next prime is 313113037. The reversal of 313113000 is 311313.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5132970 + ... + 5133030.

It is an arithmetic number, because the mean of its divisors is an integer number (4080375).

Almost surely, 2^313113000 is an apocalyptic number.

313113000 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 313113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522288000).

313113000 is an abundant number, since it is smaller than the sum of its proper divisors (731463000).

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

313113000 is a wasteful number, since it uses less digits than its factorization.

313113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 313113000 is about 17694.9992935857. Note that the first 3 decimals coincide. The cubic root of 313113000 is about 679.0478311326.

Adding to 313113000 its reverse (311313), we get a palindrome (313424313).

The spelling of 313113000 in words is "three hundred thirteen million, one hundred thirteen thousand".