22133123122331 has 16 divisors (see below), whose sum is σ = 23851626900864. Its totient is φ = 20416900414464.

The previous prime is 22133123122289. The next prime is 22133123122339. The reversal of 22133123122331 is 13322132133122.

It is a cyclic number.

It is not a de Polignac number, because 22133123122331 - 2⁴² = 17735076611227 is a prime.

It is a super-2 number, since 2×22133123122331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22133123122294 and 22133123122303.

It is not an unprimeable number, because it can be changed into a prime (22133123122339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495269870 + ... + 495314556.

It is an arithmetic number, because the mean of its divisors is an integer number (1490726681304).

Almost surely, 2^{22133123122331} is an apocalyptic number.

22133123122331 is a deficient number, since it is larger than the sum of its proper divisors (1718503778533).

22133123122331 is a wasteful number, since it uses less digits than its factorization.

22133123122331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69350.

The product of its digits is 7776, while the sum is 29.

Adding to 22133123122331 its reverse (13322132133122), we get a palindrome (35455255255453).

The spelling of 22133123122331 in words is "twenty-two trillion, one hundred thirty-three billion, one hundred twenty-three million, one hundred twenty-two thousand, three hundred thirty-one".