13122022223201 has 2 divisors, whose sum is σ = 13122022223202. Its totient is φ = 13122022223200.

The previous prime is 13122022223159. The next prime is 13122022223221. The reversal of 13122022223201 is 10232222022131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12836283866176 + 285738357025 = 3582776^2 + 534545^2 .

It is a cyclic number.

It is not a de Polignac number, because 13122022223201 - 2³⁸ = 12847144316257 is a prime.

It is not a weakly prime, because it can be changed into another prime (13122022223221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561011111600 + 6561011111601.

It is an arithmetic number, because the mean of its divisors is an integer number (6561011111601).

Almost surely, 2^{13122022223201} is an apocalyptic number.

It is an amenable number.

13122022223201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122022223201 is an equidigital number, since it uses as much as digits as its factorization.

13122022223201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 13122022223201 its reverse (10232222022131), we get a palindrome (23354244245332).

The spelling of 13122022223201 in words is "thirteen trillion, one hundred twenty-two billion, twenty-two million, two hundred twenty-three thousand, two hundred one".