101715013 has 2 divisors, whose sum is σ = 101715014. Its totient is φ = 101715012.

The previous prime is 101715007. The next prime is 101715017. The reversal of 101715013 is 310517101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63250209 + 38464804 = 7953^2 + 6202^2 .

It is an emirp because it is prime and its reverse (310517101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101715013 - 2⁵ = 101714981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101715017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50857506 + 50857507.

It is an arithmetic number, because the mean of its divisors is an integer number (50857507).

Almost surely, 2^101715013 is an apocalyptic number.

It is an amenable number.

101715013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101715013 is an equidigital number, since it uses as much as digits as its factorization.

101715013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 19.

The square root of 101715013 is about 10085.3861106058. The cubic root of 101715013 is about 466.7973189169.

The spelling of 101715013 in words is "one hundred one million, seven hundred fifteen thousand, thirteen".