331200121002133 has 16 divisors (see below), whose sum is σ = 354452948080704. Its totient is φ = 308371434937600.

The previous prime is 331200121002067. The next prime is 331200121002137.

331200121002133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331200121002133 - 2³³ = 331191531067541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331200121002137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79214935 + ... + 83291092.

It is an arithmetic number, because the mean of its divisors is an integer number (22153309255044).

Almost surely, 2^{331200121002133} is an apocalyptic number.

It is an amenable number.

331200121002133 is a deficient number, since it is larger than the sum of its proper divisors (23252827078571).

331200121002133 is a wasteful number, since it uses less digits than its factorization.

331200121002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162507332.

The product of its (nonzero) digits is 648, while the sum is 22.

The spelling of 331200121002133 in words is "three hundred thirty-one trillion, two hundred billion, one hundred twenty-one million, two thousand, one hundred thirty-three".