331133323331133 has 24 divisors (see below), whose sum is σ = 506684431167200. Its totient is φ = 207804754014624.

The previous prime is 331133323331071. The next prime is 331133323331191.

331133323331133 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 3 + 332 + 3 + 3 + 311 + 3 + 3 = 666.

331133323331133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331133323331133 - 2¹⁶ = 331133323265597 is a prime.

It is a super-3 number, since 3×331133323331133³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331133321331133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6167018323 + ... + 6167072016.

Almost surely, 2^{331133323331133} is an apocalyptic number.

It is an amenable number.

331133323331133 is a deficient number, since it is larger than the sum of its proper divisors (175551107836067).

331133323331133 is a wasteful number, since it uses less digits than its factorization.

331133323331133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12334090521 (or 12334090518 counting only the distinct ones).

The product of its digits is 118098, while the sum is 36.

The spelling of 331133323331133 in words is "three hundred thirty-one trillion, one hundred thirty-three billion, three hundred twenty-three million, three hundred thirty-one thousand, one hundred thirty-three".