13122633601193 has 2 divisors, whose sum is σ = 13122633601194. Its totient is φ = 13122633601192.

The previous prime is 13122633601127. The next prime is 13122633601219. The reversal of 13122633601193 is 39110633622131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12398342392384 + 724291208809 = 3521128^2 + 851053^2 .

It is a cyclic number.

It is not a de Polignac number, because 13122633601193 - 2³⁴ = 13105453732009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13122633601193.

It is not a weakly prime, because it can be changed into another prime (13122633601123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561316800596 + 6561316800597.

It is an arithmetic number, because the mean of its divisors is an integer number (6561316800597).

Almost surely, 2^{13122633601193} is an apocalyptic number.

It is an amenable number.

13122633601193 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122633601193 is an equidigital number, since it uses as much as digits as its factorization.

13122633601193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 104976, while the sum is 41.

The spelling of 13122633601193 in words is "thirteen trillion, one hundred twenty-two billion, six hundred thirty-three million, six hundred one thousand, one hundred ninety-three".