101513768711717 has 2 divisors, whose sum is σ = 101513768711718. Its totient is φ = 101513768711716.

The previous prime is 101513768711647. The next prime is 101513768711791. The reversal of 101513768711717 is 717117867315101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97646532403876 + 3867236307841 = 9881626^2 + 1966529^2 .

It is a cyclic number.

It is not a de Polignac number, because 101513768711717 - 2³⁶ = 101445049234981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101513768711617) 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, 50756884355858 + 50756884355859.

It is an arithmetic number, because the mean of its divisors is an integer number (50756884355859).

Almost surely, 2^{101513768711717} is an apocalyptic number.

It is an amenable number.

101513768711717 is a deficient number, since it is larger than the sum of its proper divisors (1).

101513768711717 is an equidigital number, since it uses as much as digits as its factorization.

101513768711717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728720, while the sum is 56.

The spelling of 101513768711717 in words is "one hundred one trillion, five hundred thirteen billion, seven hundred sixty-eight million, seven hundred eleven thousand, seven hundred seventeen".