331141320 has 96 divisors (see below), whose sum is σ = 1099163520. Its totient is φ = 86421120.

The previous prime is 331141313. The next prime is 331141331. The reversal of 331141320 is 23141133.

331141320 is a `hidden beast` number, since 331 + 14 + 1 + 320 = 666.

It is a super-2 number, since 2×331141320² = 219309147622684800, which contains 22 as substring.

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 = 331141293 and 331141302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7135 + ... + 26705.

It is an arithmetic number, because the mean of its divisors is an integer number (11449620).

Almost surely, 2^331141320 is an apocalyptic number.

331141320 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 331141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549581760).

331141320 is an abundant number, since it is smaller than the sum of its proper divisors (768022200).

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

331141320 is a wasteful number, since it uses less digits than its factorization.

331141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19635 (or 19628 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 331141320 is about 18197.2888090506. The cubic root of 331141320 is about 691.8380734203.

Adding to 331141320 its reverse (23141133), we get a palindrome (354282453).

The spelling of 331141320 in words is "three hundred thirty-one million, one hundred forty-one thousand, three hundred twenty".