3311342431133 has 48 divisors (see below), whose sum is σ = 3737538080640. Its totient is φ = 2930744424960.

The previous prime is 3311342431123. The next prime is 3311342431151.

It is a happy number.

3311342431133 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-3311342431133 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 3311342431133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311342431123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216604016 + ... + 216619302.

It is an arithmetic number, because the mean of its divisors is an integer number (77865376680).

Almost surely, 2^{3311342431133} is an apocalyptic number.

It is an amenable number.

3311342431133 is a deficient number, since it is larger than the sum of its proper divisors (426195649507).

3311342431133 is a wasteful number, since it uses less digits than its factorization.

3311342431133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15698 (or 15687 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

The spelling of 3311342431133 in words is "three trillion, three hundred eleven billion, three hundred forty-two million, four hundred thirty-one thousand, one hundred thirty-three".