101572717013 has 2 divisors, whose sum is σ = 101572717014. Its totient is φ = 101572717012.

The previous prime is 101572716997. The next prime is 101572717031. The reversal of 101572717013 is 310717275101.

Together with next prime (101572717031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77193954244 + 24378762769 = 277838^2 + 156137^2 .

It is an emirp because it is prime and its reverse (310717275101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101572717013 - 2⁴ = 101572716997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101572717913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50786358506 + 50786358507.

It is an arithmetic number, because the mean of its divisors is an integer number (50786358507).

Almost surely, 2^101572717013 is an apocalyptic number.

It is an amenable number.

101572717013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101572717013 is an equidigital number, since it uses as much as digits as its factorization.

101572717013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10290, while the sum is 35.

The spelling of 101572717013 in words is "one hundred one billion, five hundred seventy-two million, seven hundred seventeen thousand, thirteen".