13105346614537 has 2 divisors, whose sum is σ = 13105346614538. Its totient is φ = 13105346614536.

The previous prime is 13105346614489. The next prime is 13105346614541. The reversal of 13105346614537 is 73541664350131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7549987180176 + 5555359434361 = 2747724^2 + 2356981^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13105346614537 is a prime.

It is not a weakly prime, because it can be changed into another prime (13105346614037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552673307268 + 6552673307269.

It is an arithmetic number, because the mean of its divisors is an integer number (6552673307269).

Almost surely, 2^{13105346614537} is an apocalyptic number.

It is an amenable number.

13105346614537 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105346614537 is an equidigital number, since it uses as much as digits as its factorization.

13105346614537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2721600, while the sum is 49.

The spelling of 13105346614537 in words is "thirteen trillion, one hundred five billion, three hundred forty-six million, six hundred fourteen thousand, five hundred thirty-seven".