331111343111133 has 32 divisors (see below), whose sum is σ = 480081840416640. Its totient is φ = 201781739612160.

The previous prime is 331111343111123. The next prime is 331111343111147.

331111343111133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331111343111133 - 2¹⁸ = 331111342848989 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 331111343111133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331111343111123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96720816 + ... + 100085657.

It is an arithmetic number, because the mean of its divisors is an integer number (15002557513020).

Almost surely, 2^{331111343111133} is an apocalyptic number.

It is an amenable number.

331111343111133 is a deficient number, since it is larger than the sum of its proper divisors (148970497305507).

331111343111133 is a wasteful number, since it uses less digits than its factorization.

331111343111133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196806909.

The product of its digits is 2916, while the sum is 30.

The spelling of 331111343111133 in words is "three hundred thirty-one trillion, one hundred eleven billion, three hundred forty-three million, one hundred eleven thousand, one hundred thirty-three".