331312000 has 64 divisors (see below), whose sum is σ = 823764240. Its totient is φ = 132518400.

The previous prime is 331311961. The next prime is 331312001. The reversal of 331312000 is 213133.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331312001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5647 + ... + 26353.

Almost surely, 2^331312000 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 331312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411882120).

331312000 is an abundant number, since it is smaller than the sum of its proper divisors (492452240).

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

331312000 is an equidigital number, since it uses as much as digits as its factorization.

331312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20736 (or 20714 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 331312000 is about 18201.9779145015. The cubic root of 331312000 is about 691.9569175847.

Adding to 331312000 its reverse (213133), we get a palindrome (331525133).

The spelling of 331312000 in words is "three hundred thirty-one million, three hundred twelve thousand".