330120133021133 has 32 divisors (see below), whose sum is σ = 413045716392960. Its totient is φ = 256884243333120.

The previous prime is 330120133021109. The next prime is 330120133021157. The reversal of 330120133021133 is 331120331021033.

It is an interprime number because it is at equal distance from previous prime (330120133021109) and next prime (330120133021157).

It is not a de Polignac number, because 330120133021133 - 2⁶ = 330120133021069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330120133021103) 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 31 ways as a sum of consecutive naturals, for example, 87491288 + ... + 91186433.

It is an arithmetic number, because the mean of its divisors is an integer number (12907678637280).

Almost surely, 2^{330120133021133} is an apocalyptic number.

It is an amenable number.

330120133021133 is a deficient number, since it is larger than the sum of its proper divisors (82925583371827).

330120133021133 is a wasteful number, since it uses less digits than its factorization.

330120133021133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178678077.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 330120133021133 its reverse (331120331021033), we get a palindrome (661240464042166).

The spelling of 330120133021133 in words is "three hundred thirty trillion, one hundred twenty billion, one hundred thirty-three million, twenty-one thousand, one hundred thirty-three".