13105405522109 has 2 divisors, whose sum is σ = 13105405522110. Its totient is φ = 13105405522108.

The previous prime is 13105405522103. The next prime is 13105405522117. The reversal of 13105405522109 is 90122550450131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11378835802009 + 1726569720100 = 3373253^2 + 1313990^2 .

It is a cyclic number.

It is not a de Polignac number, because 13105405522109 - 2²⁰ = 13105404473533 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13105405522103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552702761054 + 6552702761055.

It is an arithmetic number, because the mean of its divisors is an integer number (6552702761055).

Almost surely, 2^{13105405522109} is an apocalyptic number.

It is an amenable number.

13105405522109 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105405522109 is an equidigital number, since it uses as much as digits as its factorization.

13105405522109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 38.

The spelling of 13105405522109 in words is "thirteen trillion, one hundred five billion, four hundred five million, five hundred twenty-two thousand, one hundred nine".