331301120 has 72 divisors (see below), whose sum is σ = 810601344. Its totient is φ = 129677312.

The previous prime is 331301101. The next prime is 331301143. The reversal of 331301120 is 21103133.

It is a super-2 number, since 2×331301120² = 219520864226508800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331301095 and 331301104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57407 + ... + 62913.

It is an arithmetic number, because the mean of its divisors is an integer number (11258352).

Almost surely, 2^331301120 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 331301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405300672).

331301120 is an abundant number, since it is smaller than the sum of its proper divisors (479300224).

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

331301120 is an equidigital number, since it uses as much as digits as its factorization.

331301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5575 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 331301120 is about 18201.6790434289. The cubic root of 331301120 is about 691.9493430792.

Adding to 331301120 its reverse (21103133), we get a palindrome (352404253).

The spelling of 331301120 in words is "three hundred thirty-one million, three hundred one thousand, one hundred twenty".