330131001200193 has 48 divisors (see below), whose sum is σ = 491298968160000. Its totient is φ = 213549672340224.

The previous prime is 330131001200183. The next prime is 330131001200219. The reversal of 330131001200193 is 391002100131033.

330131001200193 is a `hidden beast` number, since 330 + 1 + 310 + 0 + 1 + 2 + 0 + 0 + 19 + 3 = 666.

It is not a de Polignac number, because 330131001200193 - 2⁶ = 330131001200129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (330131001200183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6757273 + ... + 26569206.

It is an arithmetic number, because the mean of its divisors is an integer number (10235395170000).

Almost surely, 2^{330131001200193} is an apocalyptic number.

It is an amenable number.

330131001200193 is a deficient number, since it is larger than the sum of its proper divisors (161167966959807).

330131001200193 is a wasteful number, since it uses less digits than its factorization.

330131001200193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33326806 (or 33326803 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 330131001200193 in words is "three hundred thirty trillion, one hundred thirty-one billion, one million, two hundred thousand, one hundred ninety-three".