13105435022191 has 2 divisors, whose sum is σ = 13105435022192. Its totient is φ = 13105435022190.

The previous prime is 13105435022179. The next prime is 13105435022203. The reversal of 13105435022191 is 19122053450131.

It is a balanced prime because it is at equal distance from previous prime (13105435022179) and next prime (13105435022203).

It is a cyclic number.

It is not a de Polignac number, because 13105435022191 - 2³¹ = 13103287538543 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13105435022191.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13105435022101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552717511095 + 6552717511096.

It is an arithmetic number, because the mean of its divisors is an integer number (6552717511096).

Almost surely, 2^{13105435022191} is an apocalyptic number.

13105435022191 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105435022191 is an equidigital number, since it uses as much as digits as its factorization.

13105435022191 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 13105435022191 in words is "thirteen trillion, one hundred five billion, four hundred thirty-five million, twenty-two thousand, one hundred ninety-one".