331334020433133 has 6 divisors (see below), whose sum is σ = 478593585070094. Its totient is φ = 220889346955416.

The previous prime is 331334020433081. The next prime is 331334020433161.

331334020433133 is a `hidden beast` number, since 3 + 3 + 1 + 33 + 40 + 20 + 433 + 133 = 666.

331334020433133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 306504747954729 + 24829272478404 = 17507277^2 + 4982898^2 .

It is not a de Polignac number, because 331334020433133 - 2⁶ = 331334020433069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331334020433233) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18407445579610 + ... + 18407445579627.

Almost surely, 2^{331334020433133} is an apocalyptic number.

It is an amenable number.

331334020433133 is a deficient number, since it is larger than the sum of its proper divisors (147259564636961).

331334020433133 is a wasteful number, since it uses less digits than its factorization.

331334020433133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36814891159243 (or 36814891159240 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 36.

The spelling of 331334020433133 in words is "three hundred thirty-one trillion, three hundred thirty-four billion, twenty million, four hundred thirty-three thousand, one hundred thirty-three".