331122113131122 has 96 divisors (see below), whose sum is σ = 723745417824000. Its totient is φ = 109408195895040.

The previous prime is 331122113131093. The next prime is 331122113131123. The reversal of 331122113131122 is 221131311221133.

331122113131122 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 221 + 1 + 313 + 1 + 122 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (331122113131123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755924704 + ... + 756362612.

It is an arithmetic number, because the mean of its divisors is an integer number (7539014769000).

Almost surely, 2^{331122113131122} is an apocalyptic number.

331122113131122 is an abundant number, since it is smaller than the sum of its proper divisors (392623304692878).

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

331122113131122 is a wasteful number, since it uses less digits than its factorization.

331122113131122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438976 (or 438973 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 331122113131122 its reverse (221131311221133), we get a palindrome (552253424352255).

The spelling of 331122113131122 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred twenty-two".