13311013193 has 2 divisors, whose sum is σ = 13311013194. Its totient is φ = 13311013192.

The previous prime is 13311013171. The next prime is 13311013207. The reversal of 13311013193 is 39131011331.

13311013193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13223160064 + 87853129 = 114992^2 + 9373^2 .

It is an emirp because it is prime and its reverse (39131011331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13311013193 - 2¹⁸ = 13310751049 is a prime.

It is not a weakly prime, because it can be changed into another prime (13311013693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655506596 + 6655506597.

It is an arithmetic number, because the mean of its divisors is an integer number (6655506597).

Almost surely, 2^13311013193 is an apocalyptic number.

It is an amenable number.

13311013193 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311013193 is an equidigital number, since it uses as much as digits as its factorization.

13311013193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 26.

The spelling of 13311013193 in words is "thirteen billion, three hundred eleven million, thirteen thousand, one hundred ninety-three".