331112343211133 has 12 divisors (see below), whose sum is σ = 364760509938300. Its totient is φ = 300340817441280.

The previous prime is 331112343211129. The next prime is 331112343211151.

331112343211133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 96613900002169 + 234498443208964 = 9829237^2 + 15313342^2 .

It is not a de Polignac number, because 331112343211133 - 2² = 331112343211129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 331112343211133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331112343211123) 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 11 ways as a sum of consecutive naturals, for example, 3047234810 + ... + 3047343467.

It is an arithmetic number, because the mean of its divisors is an integer number (30396709161525).

Almost surely, 2^{331112343211133} is an apocalyptic number.

It is an amenable number.

331112343211133 is a deficient number, since it is larger than the sum of its proper divisors (33648166727167).

331112343211133 is a wasteful number, since it uses less digits than its factorization.

331112343211133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094578748 (or 6094578737 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The spelling of 331112343211133 in words is "three hundred thirty-one trillion, one hundred twelve billion, three hundred forty-three million, two hundred eleven thousand, one hundred thirty-three".