13130303200193 has 2 divisors, whose sum is σ = 13130303200194. Its totient is φ = 13130303200192.

The previous prime is 13130303200123. The next prime is 13130303200229. The reversal of 13130303200193 is 39100230303131.

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., 12212669483569 + 917633716624 = 3494663^2 + 957932^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13130303200193 is a prime.

It is not a weakly prime, because it can be changed into another prime (13130303200123) 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, 6565151600096 + 6565151600097.

It is an arithmetic number, because the mean of its divisors is an integer number (6565151600097).

Almost surely, 2^{13130303200193} is an apocalyptic number.

It is an amenable number.

13130303200193 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130303200193 is an equidigital number, since it uses as much as digits as its factorization.

13130303200193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 29.

The spelling of 13130303200193 in words is "thirteen trillion, one hundred thirty billion, three hundred three million, two hundred thousand, one hundred ninety-three".