17100742414513 has 2 divisors, whose sum is σ = 17100742414514. Its totient is φ = 17100742414512.

The previous prime is 17100742414487. The next prime is 17100742414517. The reversal of 17100742414513 is 31541424700171.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13199611798129 + 3901130616384 = 3633127^2 + 1975128^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-17100742414513 is a prime.

It is a super-2 number, since 2×17100742414513² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (17100742414517) 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, 8550371207256 + 8550371207257.

It is an arithmetic number, because the mean of its divisors is an integer number (8550371207257).

Almost surely, 2^{17100742414513} is an apocalyptic number.

It is an amenable number.

17100742414513 is a deficient number, since it is larger than the sum of its proper divisors (1).

17100742414513 is an equidigital number, since it uses as much as digits as its factorization.

17100742414513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 17100742414513 in words is "seventeen trillion, one hundred billion, seven hundred forty-two million, four hundred fourteen thousand, five hundred thirteen".