330121330033113 has 12 divisors (see below), whose sum is σ = 476844835672660. Its totient is φ = 220079541528576.

The previous prime is 330121330033109. The next prime is 330121330033123. The reversal of 330121330033113 is 311330033121033.

330121330033113 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 2 + 13 + 300 + 331 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 166635774927504 + 163485555105609 = 12908748^2 + 12786147^2 .

It is not a de Polignac number, because 330121330033113 - 2² = 330121330033109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330121330033123) 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 11 ways as a sum of consecutive naturals, for example, 110541256 + ... + 113488377.

Almost surely, 2^{330121330033113} is an apocalyptic number.

It is an amenable number.

330121330033113 is a deficient number, since it is larger than the sum of its proper divisors (146723505639547).

330121330033113 is a wasteful number, since it uses less digits than its factorization.

330121330033113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224193368 (or 224193365 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 330121330033113 its reverse (311330033121033), we get a palindrome (641451363154146).

The spelling of 330121330033113 in words is "three hundred thirty trillion, one hundred twenty-one billion, three hundred thirty million, thirty-three thousand, one hundred thirteen".