101099597713 has 2 divisors, whose sum is σ = 101099597714. Its totient is φ = 101099597712.

The previous prime is 101099597707. The next prime is 101099597717. The reversal of 101099597713 is 317795990101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54628310529 + 46471287184 = 233727^2 + 215572^2 .

It is an emirp because it is prime and its reverse (317795990101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101099597713 is a prime.

It is a super-2 number, since 2×101099597713² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101099597717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50549798856 + 50549798857.

It is an arithmetic number, because the mean of its divisors is an integer number (50549798857).

Almost surely, 2^101099597713 is an apocalyptic number.

It is an amenable number.

101099597713 is a deficient number, since it is larger than the sum of its proper divisors (1).

101099597713 is an equidigital number, since it uses as much as digits as its factorization.

101099597713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 535815, while the sum is 52.

The spelling of 101099597713 in words is "one hundred one billion, ninety-nine million, five hundred ninety-seven thousand, seven hundred thirteen".