13130968746601 has 2 divisors, whose sum is σ = 13130968746602. Its totient is φ = 13130968746600.

The previous prime is 13130968746587. The next prime is 13130968746647. The reversal of 13130968746601 is 10664786903131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9412624000000 + 3718344746601 = 3068000^2 + 1928301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13130968746601 is a prime.

It is not a weakly prime, because it can be changed into another prime (13130968740601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565484373300 + 6565484373301.

It is an arithmetic number, because the mean of its divisors is an integer number (6565484373301).

Almost surely, 2^{13130968746601} is an apocalyptic number.

It is an amenable number.

13130968746601 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130968746601 is an equidigital number, since it uses as much as digits as its factorization.

13130968746601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 13130968746601 in words is "thirteen trillion, one hundred thirty billion, nine hundred sixty-eight million, seven hundred forty-six thousand, six hundred one".