331002141200133 has 16 divisors (see below), whose sum is σ = 485397575314176. Its totient is φ = 199359718430400.

The previous prime is 331002141200113. The next prime is 331002141200333.

331002141200133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331002141200133 - 2⁴⁸ = 49527164489477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331002141200113) 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 15 ways as a sum of consecutive naturals, for example, 90289725718 + ... + 90289729383.

It is an arithmetic number, because the mean of its divisors is an integer number (30337348457136).

Almost surely, 2^{331002141200133} is an apocalyptic number.

It is an amenable number.

331002141200133 is a deficient number, since it is larger than the sum of its proper divisors (154395434114043).

331002141200133 is a wasteful number, since it uses less digits than its factorization.

331002141200133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180579455164.

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 331002141200133 in words is "three hundred thirty-one trillion, two billion, one hundred forty-one million, two hundred thousand, one hundred thirty-three".