3122211112133 has 16 divisors (see below), whose sum is σ = 3183543908160. Its totient is φ = 3061456712064.

The previous prime is 3122211112127. The next prime is 3122211112177. The reversal of 3122211112133 is 3312111122213.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3122211112133 - 2¹⁰ = 3122211111109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3122211112099 and 3122211112108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122211112123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38874185 + ... + 38954417.

It is an arithmetic number, because the mean of its divisors is an integer number (198971494260).

Almost surely, 2^{3122211112133} is an apocalyptic number.

It is an amenable number.

3122211112133 is a deficient number, since it is larger than the sum of its proper divisors (61332796027).

3122211112133 is a wasteful number, since it uses less digits than its factorization.

3122211112133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83828.

The product of its digits is 432, while the sum is 23.

Adding to 3122211112133 its reverse (3312111122213), we get a palindrome (6434322234346).

The spelling of 3122211112133 in words is "three trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twelve thousand, one hundred thirty-three".