331304100 has 72 divisors (see below), whose sum is σ = 967625568. Its totient is φ = 87513600.

The previous prime is 331304093. The next prime is 331304101. The reversal of 331304100 is 1403133.

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 331304100.

It is not an unprimeable number, because it can be changed into a prime (331304101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26940 + ... + 37260.

It is an arithmetic number, because the mean of its divisors is an integer number (13439244).

Almost surely, 2^331304100 is an apocalyptic number.

331304100 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 331304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483812784).

331304100 is an abundant number, since it is smaller than the sum of its proper divisors (636321468).

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

331304100 is a wasteful number, since it uses less digits than its factorization.

331304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10445 (or 10438 counting only the distinct ones).

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

The square root of 331304100 is about 18201.7609038247. The cubic root of 331304100 is about 691.9514177305.

Adding to 331304100 its reverse (1403133), we get a palindrome (332707233).

The spelling of 331304100 in words is "three hundred thirty-one million, three hundred four thousand, one hundred".