331000320 has 320 divisors, whose sum is σ = 1244491776. Its totient is φ = 73482240.

The previous prime is 331000309. The next prime is 331000333. The reversal of 331000320 is 23000133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×331000320² = 219122423680204800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 331000296 and 331000305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2526655 + ... + 2526785.

Almost surely, 2^331000320 is an apocalyptic number.

331000320 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 331000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622245888).

331000320 is an abundant number, since it is smaller than the sum of its proper divisors (913491456).

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

331000320 is a wasteful number, since it uses less digits than its factorization.

331000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 331000320 is about 18193.4141930535. The cubic root of 331000320 is about 691.7398645780.

Adding to 331000320 its reverse (23000133), we get a palindrome (354000453).

The spelling of 331000320 in words is "three hundred thirty-one million, three hundred twenty", and thus it is an aban number.