101516446013317 has 2 divisors, whose sum is σ = 101516446013318. Its totient is φ = 101516446013316.

The previous prime is 101516446013207. The next prime is 101516446013387. The reversal of 101516446013317 is 713310644615101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101212976137156 + 303469876161 = 10060466^2 + 550881^2 .

It is a cyclic number.

It is not a de Polignac number, because 101516446013317 - 2⁷ = 101516446013189 is a prime.

It is a super-2 number, since 2×101516446013317² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101516446013387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50758223006658 + 50758223006659.

It is an arithmetic number, because the mean of its divisors is an integer number (50758223006659).

Almost surely, 2^{101516446013317} is an apocalyptic number.

It is an amenable number.

101516446013317 is a deficient number, since it is larger than the sum of its proper divisors (1).

101516446013317 is an equidigital number, since it uses as much as digits as its factorization.

101516446013317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 101516446013317 in words is "one hundred one trillion, five hundred sixteen billion, four hundred forty-six million, thirteen thousand, three hundred seventeen".