100517748555713 has 2 divisors, whose sum is σ = 100517748555714. Its totient is φ = 100517748555712.

The previous prime is 100517748555701. The next prime is 100517748555797. The reversal of 100517748555713 is 317555847715001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97030143750544 + 3487604805169 = 9850388^2 + 1867513^2 .

It is a cyclic number.

It is not a de Polignac number, because 100517748555713 - 2²⁸ = 100517480120257 is a prime.

It is not a weakly prime, because it can be changed into another prime (100517708555713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50258874277856 + 50258874277857.

It is an arithmetic number, because the mean of its divisors is an integer number (50258874277857).

Almost surely, 2^{100517748555713} is an apocalyptic number.

It is an amenable number.

100517748555713 is a deficient number, since it is larger than the sum of its proper divisors (1).

100517748555713 is an equidigital number, since it uses as much as digits as its factorization.

100517748555713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20580000, while the sum is 59.

The spelling of 100517748555713 in words is "one hundred trillion, five hundred seventeen billion, seven hundred forty-eight million, five hundred fifty-five thousand, seven hundred thirteen".