310113320 has 96 divisors (see below), whose sum is σ = 812284200. Its totient is φ = 106106880.

The previous prime is 310113313. The next prime is 310113343. The reversal of 310113320 is 23311013.

It can be written as a sum of positive squares in 4 ways, for example, as 304362916 + 5750404 = 17446^2 + 2398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 310113295 and 310113304.

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, 80396 + ... + 84164.

Almost surely, 2^310113320 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 310113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406142100).

310113320 is an abundant number, since it is smaller than the sum of its proper divisors (502170880).

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

310113320 is a wasteful number, since it uses less digits than its factorization.

310113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3804 counting only the distinct ones).

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

The square root of 310113320 is about 17610.0346393754. The cubic root of 310113320 is about 676.8724016552.

Adding to 310113320 its reverse (23311013), we get a palindrome (333424333).

The spelling of 310113320 in words is "three hundred ten million, one hundred thirteen thousand, three hundred twenty".