331213200 has 60 divisors (see below), whose sum is σ = 1060990128. Its totient is φ = 88323200.

The previous prime is 331213189. The next prime is 331213213. The reversal of 331213200 is 2312133.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 331213200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136806 + ... + 139205.

Almost surely, 2^331213200 is an apocalyptic number.

331213200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331213200 is an abundant number, since it is smaller than the sum of its proper divisors (729776928).

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

331213200 is a wasteful number, since it uses less digits than its factorization.

331213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276032 (or 276021 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 331213200 is about 18199.2637213707. The cubic root of 331213200 is about 691.8881283062. Note that the first 3 decimals are identical.

Adding to 331213200 its reverse (2312133), we get a palindrome (333525333).

It can be divided in two parts, 331 and 213200, that added together give a triangular number (213531 = T₆₅₃).

The spelling of 331213200 in words is "three hundred thirty-one million, two hundred thirteen thousand, two hundred".