22210012118113 has 2 divisors, whose sum is σ = 22210012118114. Its totient is φ = 22210012118112.

The previous prime is 22210012118111. The next prime is 22210012118131. The reversal of 22210012118113 is 31181121001222.

Together with next prime (22210012118131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21703001187904 + 507010930209 = 4658648^2 + 712047^2 .

It is a cyclic number.

It is not a de Polignac number, because 22210012118113 - 2¹ = 22210012118111 is a prime.

Together with 22210012118111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (22210012118111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11105006059056 + 11105006059057.

It is an arithmetic number, because the mean of its divisors is an integer number (11105006059057).

Almost surely, 2^{22210012118113} is an apocalyptic number.

It is an amenable number.

22210012118113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22210012118113 is an equidigital number, since it uses as much as digits as its factorization.

22210012118113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 25.

Adding to 22210012118113 its reverse (31181121001222), we get a palindrome (53391133119335).

The spelling of 22210012118113 in words is "twenty-two trillion, two hundred ten billion, twelve million, one hundred eighteen thousand, one hundred thirteen".