222123221220013 has 2 divisors, whose sum is σ = 222123221220014. Its totient is φ = 222123221220012.

The previous prime is 222123221219983. The next prime is 222123221220077. The reversal of 222123221220013 is 310022122321222.

222123221220013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 142181704456009 + 79941516764004 = 11923997^2 + 8941002^2 .

It is a cyclic number.

It is not a de Polignac number, because 222123221220013 - 2²⁹ = 222122684349101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 222123221220013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222123221220413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111061610610006 + 111061610610007.

It is an arithmetic number, because the mean of its divisors is an integer number (111061610610007).

Almost surely, 2^{222123221220013} is an apocalyptic number.

It is an amenable number.

222123221220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

222123221220013 is an equidigital number, since it uses as much as digits as its factorization.

222123221220013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 222123221220013 its reverse (310022122321222), we get a palindrome (532145343541235).

The spelling of 222123221220013 in words is "two hundred twenty-two trillion, one hundred twenty-three billion, two hundred twenty-one million, two hundred twenty thousand, thirteen".