331133203120 has 80 divisors (see below), whose sum is σ = 775804148928. Its totient is φ = 131436748800.

The previous prime is 331133203109. The next prime is 331133203123. The reversal of 331133203120 is 21302331133.

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

It is a super-2 number, since 2×331133203120² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331133203091 and 331133203100.

It is not an unprimeable number, because it can be changed into a prime (331133203123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11788132 + ... + 11816188.

Almost surely, 2^331133203120 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 331133203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387902074464).

331133203120 is an abundant number, since it is smaller than the sum of its proper divisors (444670945808).

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

331133203120 is a wasteful number, since it uses less digits than its factorization.

331133203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29198 (or 29192 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 331133203120 its reverse (21302331133), we get a palindrome (352435534253).

The spelling of 331133203120 in words is "three hundred thirty-one billion, one hundred thirty-three million, two hundred three thousand, one hundred twenty".