331333231022112 has 144 divisors (see below), whose sum is σ = 956042969595840. Its totient is φ = 100400116523520.

The previous prime is 331333231022111. The next prime is 331333231022117. The reversal of 331333231022112 is 211220132333133.

It is a super-3 number, since 3×331333231022112³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331333231022112.

It is not an unprimeable number, because it can be changed into a prime (331333231022111) 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, 306389814 + ... + 307469322.

It is an arithmetic number, because the mean of its divisors is an integer number (6639187288860).

Almost surely, 2^{331333231022112} is an apocalyptic number.

331333231022112 is a gapful number since it is divisible by the number (32) 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 331333231022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478021484797920).

331333231022112 is an abundant number, since it is smaller than the sum of its proper divisors (624709738573728).

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

331333231022112 is a wasteful number, since it uses less digits than its factorization.

331333231022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105967 (or 1105948 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 331333231022112 its reverse (211220132333133), we get a palindrome (542553363355245).

The spelling of 331333231022112 in words is "three hundred thirty-one trillion, three hundred thirty-three billion, two hundred thirty-one million, twenty-two thousand, one hundred twelve".