13220122200193 has 2 divisors, whose sum is σ = 13220122200194. Its totient is φ = 13220122200192.

The previous prime is 13220122200191. The next prime is 13220122200217. The reversal of 13220122200193 is 39100222102231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9560507288049 + 3659614912144 = 3092007^2 + 1913012^2 .

It is an emirp because it is prime and its reverse (39100222102231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13220122200193 - 2¹ = 13220122200191 is a prime.

Together with 13220122200191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13220122200191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610061100096 + 6610061100097.

It is an arithmetic number, because the mean of its divisors is an integer number (6610061100097).

Almost surely, 2^{13220122200193} is an apocalyptic number.

It is an amenable number.

13220122200193 is a deficient number, since it is larger than the sum of its proper divisors (1).

13220122200193 is an equidigital number, since it uses as much as digits as its factorization.

13220122200193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 13220122200193 in words is "thirteen trillion, two hundred twenty billion, one hundred twenty-two million, two hundred thousand, one hundred ninety-three".