331312320 has 336 divisors, whose sum is σ = 1236744288. Its totient is φ = 81100800.

The previous prime is 331312307. The next prime is 331312351. The reversal of 331312320 is 23213133.

331312320 is a `hidden beast` number, since 3 + 31 + 312 + 320 = 666.

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 = 331312293 and 331312302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3280270 + ... + 3280370.

Almost surely, 2^331312320 is an apocalyptic number.

331312320 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 331312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618372144).

331312320 is an abundant number, since it is smaller than the sum of its proper divisors (905431968).

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

331312320 is a wasteful number, since it uses less digits than its factorization.

331312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

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

The square root of 331312320 is about 18201.9867047529. The cubic root of 331312320 is about 691.9571403618.

Adding to 331312320 its reverse (23213133), we get a palindrome (354525453).

The spelling of 331312320 in words is "three hundred thirty-one million, three hundred twelve thousand, three hundred twenty".