13105892616241 has 2 divisors, whose sum is σ = 13105892616242. Its totient is φ = 13105892616240.

The previous prime is 13105892616169. The next prime is 13105892616281. The reversal of 13105892616241 is 14261629850131.

13105892616241 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., 13036576784400 + 69315831841 = 3610620^2 + 263279^2 .

It is a cyclic number.

It is not a de Polignac number, because 13105892616241 - 2⁹ = 13105892615729 is a prime.

It is not a weakly prime, because it can be changed into another prime (13105892616281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552946308120 + 6552946308121.

It is an arithmetic number, because the mean of its divisors is an integer number (6552946308121).

Almost surely, 2^{13105892616241} is an apocalyptic number.

It is an amenable number.

13105892616241 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105892616241 is an equidigital number, since it uses as much as digits as its factorization.

13105892616241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 13105892616241 in words is "thirteen trillion, one hundred five billion, eight hundred ninety-two million, six hundred sixteen thousand, two hundred forty-one".