22133312313201 has 36 divisors (see below), whose sum is σ = 33742550422308. Its totient is φ = 13978519619328.

The previous prime is 22133312313103. The next prime is 22133312313221. The reversal of 22133312313201 is 10231321333122.

22133312313201 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 331 + 2 + 3 + 1 + 320 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14730973229025 + 7402339084176 = 3838095^2 + 2720724^2 .

It is not a de Polignac number, because 22133312313201 - 2⁹ = 22133312312689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22133312313221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138954861 + ... + 139114053.

Almost surely, 2^{22133312313201} is an apocalyptic number.

It is an amenable number.

22133312313201 is a deficient number, since it is larger than the sum of its proper divisors (11609238109107).

22133312313201 is a wasteful number, since it uses less digits than its factorization.

22133312313201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202030 (or 202008 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 22133312313201 its reverse (10231321333122), we get a palindrome (32364633646323).

The spelling of 22133312313201 in words is "twenty-two trillion, one hundred thirty-three billion, three hundred twelve million, three hundred thirteen thousand, two hundred one".