3312262622133 has 12 divisors (see below), whose sum is σ = 4913686893388. Its totient is φ = 2148494673600.

The previous prime is 3312262622089. The next prime is 3312262622147.

It is a happy number.

3312262622133 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 2 + 626 + 2 + 21 + 3 + 3 = 666.

3312262622133 is nontrivially palindromic in base 10.

3312262622133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2404726315524 + 907536306609 = 1550718^2 + 952647^2 .

It is not a de Polignac number, because 3312262622133 - 2²¹ = 3312260524981 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 (3312262622633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4973366968 + ... + 4973367633.

Almost surely, 2^{3312262622133} is an apocalyptic number.

It is an amenable number.

3312262622133 is a deficient number, since it is larger than the sum of its proper divisors (1601424271255).

3312262622133 is a wasteful number, since it uses less digits than its factorization.

3312262622133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9946734644 (or 9946734641 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 3312262622133 in words is "three trillion, three hundred twelve billion, two hundred sixty-two million, six hundred twenty-two thousand, one hundred thirty-three".