22013133032133 has 12 divisors (see below), whose sum is σ = 32656119273388. Its totient is φ = 14278788993600.

The previous prime is 22013133032117. The next prime is 22013133032203. The reversal of 22013133032133 is 33123033131022.

22013133032133 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 3 + 1 + 330 + 321 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20829210593409 + 1183922438724 = 4563903^2 + 1088082^2 .

It is not a de Polignac number, because 22013133032133 - 2⁴ = 22013133032117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22013133032097 and 22013133032106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013133082133) 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, 33052751968 + ... + 33052752633.

Almost surely, 2^{22013133032133} is an apocalyptic number.

It is an amenable number.

22013133032133 is a deficient number, since it is larger than the sum of its proper divisors (10642986241255).

22013133032133 is a wasteful number, since it uses less digits than its factorization.

22013133032133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66105504644 (or 66105504641 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 22013133032133 its reverse (33123033131022), we get a palindrome (55136166163155).

The spelling of 22013133032133 in words is "twenty-two trillion, thirteen billion, one hundred thirty-three million, thirty-two thousand, one hundred thirty-three".