331113131120 has 80 divisors (see below), whose sum is σ = 776053329408. Its totient is φ = 131379252480.

The previous prime is 331113131057. The next prime is 331113131147. The reversal of 331113131120 is 21131311133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 331113131092 and 331113131101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6480875 + ... + 6531765.

Almost surely, 2^331113131120 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 331113131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388026664704).

331113131120 is an abundant number, since it is smaller than the sum of its proper divisors (444940198288).

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

331113131120 is a wasteful number, since it uses less digits than its factorization.

331113131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51558 (or 51552 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 331113131120 its reverse (21131311133), we get a palindrome (352244442253).

The spelling of 331113131120 in words is "three hundred thirty-one billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred twenty".