330120002133 has 24 divisors (see below), whose sum is σ = 497600962560. Its totient is φ = 210499127520.

The previous prime is 330120002081. The next prime is 330120002159. The reversal of 330120002133 is 331200021033.

330120002133 is a `hidden beast` number, since 330 + 1 + 200 + 0 + 2 + 133 = 666.

It is not a de Polignac number, because 330120002133 - 2¹⁰ = 330120001109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330110002133) 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 23 ways as a sum of consecutive naturals, for example, 4734463 + ... + 4803683.

It is an arithmetic number, because the mean of its divisors is an integer number (20733373440).

Almost surely, 2^330120002133 is an apocalyptic number.

It is an amenable number.

330120002133 is a deficient number, since it is larger than the sum of its proper divisors (167480960427).

330120002133 is a wasteful number, since it uses less digits than its factorization.

330120002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92289 (or 92286 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 330120002133 its reverse (331200021033), we get a palindrome (661320023166).

The spelling of 330120002133 in words is "three hundred thirty billion, one hundred twenty million, two thousand, one hundred thirty-three".