222112120002013 has 2 divisors, whose sum is σ = 222112120002014. Its totient is φ = 222112120002012.

The previous prime is 222112120001861. The next prime is 222112120002077. The reversal of 222112120002013 is 310200021211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221237601387364 + 874518614649 = 14874058^2 + 935157^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112120002013 - 2⁴¹ = 219913096746461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222112120032013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111056060001006 + 111056060001007.

It is an arithmetic number, because the mean of its divisors is an integer number (111056060001007).

Almost surely, 2^{222112120002013} is an apocalyptic number.

It is an amenable number.

222112120002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112120002013 is an equidigital number, since it uses as much as digits as its factorization.

222112120002013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 222112120002013 its reverse (310200021211222), we get a palindrome (532312141213235).

The spelling of 222112120002013 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred twenty million, two thousand, thirteen".