331020313221123 has 48 divisors (see below), whose sum is σ = 489993633642240. Its totient is φ = 215257994595072.

The previous prime is 331020313221109. The next prime is 331020313221133. The reversal of 331020313221123 is 321122313020133.

331020313221123 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 2 + 0 + 313 + 221 + 123 = 666.

It is not a de Polignac number, because 331020313221123 - 2²² = 331020309026819 is a prime.

It is a super-2 number, since 2×331020313221123² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331020313221133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4407161493 + ... + 4407236601.

It is an arithmetic number, because the mean of its divisors is an integer number (10208200700880).

Almost surely, 2^{331020313221123} is an apocalyptic number.

331020313221123 is a deficient number, since it is larger than the sum of its proper divisors (158973320421117).

331020313221123 is a wasteful number, since it uses less digits than its factorization.

331020313221123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128748 (or 128745 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 331020313221123 its reverse (321122313020133), we get a palindrome (652142626241256).

The spelling of 331020313221123 in words is "three hundred thirty-one trillion, twenty billion, three hundred thirteen million, two hundred twenty-one thousand, one hundred twenty-three".