331120 has 20 divisors (see below), whose sum is σ = 770040. Its totient is φ = 132416.

The previous prime is 331099. The next prime is 331127. The reversal of 331120 is 21133.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 331097 and 331106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331127) by changing a digit.

331120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1990 + ... + 2149.

It is an arithmetic number, because the mean of its divisors is an integer number (38502).

2³³¹¹²⁰ is an apocalyptic number.

It is an amenable number.

331120 is an abundant number, since it is smaller than the sum of its proper divisors (438920).

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

331120 is a wasteful number, since it uses less digits than its factorization.

331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 331120 is about 575.4302737952. The cubic root of 331120 is about 69.1823225475.

Adding to 331120 its reverse (21133), we get a palindrome (352253).

The spelling of 331120 in words is "three hundred thirty-one thousand, one hundred twenty".