331053120 has 168 divisors, whose sum is σ = 1155435840. Its totient is φ = 86983680.

The previous prime is 331053119. The next prime is 331053127. The reversal of 331053120 is 21350133.

331053120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331053093 and 331053102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331053127) 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, 203671 + ... + 205289.

Almost surely, 2^331053120 is an apocalyptic number.

331053120 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 331053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577717920).

331053120 is an abundant number, since it is smaller than the sum of its proper divisors (824382720).

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

331053120 is a wasteful number, since it uses less digits than its factorization.

331053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 331053120 is about 18194.8652097233. The cubic root of 331053120 is about 691.7766439210.

The spelling of 331053120 in words is "three hundred thirty-one million, fifty-three thousand, one hundred twenty".