313231320 has 256 divisors, whose sum is σ = 1102896000. Its totient is φ = 78962688.

The previous prime is 313231301. The next prime is 313231327. The reversal of 313231320 is 23132313.

313231320 is a `hidden beast` number, since 313 + 2 + 31 + 320 = 666.

It is a super-2 number, since 2×313231320² = 196227719657884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313231293 and 313231302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313231327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2286292 + ... + 2286428.

Almost surely, 2^313231320 is an apocalyptic number.

313231320 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 313231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551448000).

313231320 is an abundant number, since it is smaller than the sum of its proper divisors (789664680).

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

313231320 is a wasteful number, since it uses less digits than its factorization.

313231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 313231320 is about 17698.3422952547. The cubic root of 313231320 is about 679.1333538472.

Adding to 313231320 its reverse (23132313), we get a palindrome (336363633).

The spelling of 313231320 in words is "three hundred thirteen million, two hundred thirty-one thousand, three hundred twenty".