13105104997 has 2 divisors, whose sum is σ = 13105104998. Its totient is φ = 13105104996.

The previous prime is 13105104967. The next prime is 13105105043. The reversal of 13105104997 is 79940150131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12897917761 + 207187236 = 113569^2 + 14394^2 .

It is a cyclic number.

It is not a de Polignac number, because 13105104997 - 2¹⁵ = 13105072229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13105104907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552552498 + 6552552499.

It is an arithmetic number, because the mean of its divisors is an integer number (6552552499).

Almost surely, 2^13105104997 is an apocalyptic number.

It is an amenable number.

13105104997 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105104997 is an equidigital number, since it uses as much as digits as its factorization.

13105104997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 40.

The spelling of 13105104997 in words is "thirteen billion, one hundred five million, one hundred four thousand, nine hundred ninety-seven".