13222122122221 has 2 divisors, whose sum is σ = 13222122122222. Its totient is φ = 13222122122220.

The previous prime is 13222122122219. The next prime is 13222122122239. The reversal of 13222122122221 is 12222122122231.

It is a happy number.

13222122122221 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., 9420363086121 + 3801759036100 = 3069261^2 + 1949810^2 .

It is a cyclic number.

It is not a de Polignac number, because 13222122122221 - 2¹ = 13222122122219 is a prime.

Together with 13222122122219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13222122122201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6611061061110 + 6611061061111.

It is an arithmetic number, because the mean of its divisors is an integer number (6611061061111).

Almost surely, 2^{13222122122221} is an apocalyptic number.

It is an amenable number.

13222122122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

13222122122221 is an equidigital number, since it uses as much as digits as its factorization.

13222122122221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1536, while the sum is 25.

Adding to 13222122122221 its reverse (12222122122231), we get a palindrome (25444244244452).

The spelling of 13222122122221 in words is "thirteen trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty-one".