101258713 has 2 divisors, whose sum is σ = 101258714. Its totient is φ = 101258712.

The previous prime is 101258699. The next prime is 101258723. The reversal of 101258713 is 317852101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62283664 + 38975049 = 7892^2 + 6243^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101258713 is a prime.

It is not a weakly prime, because it can be changed into another prime (101258723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50629356 + 50629357.

It is an arithmetic number, because the mean of its divisors is an integer number (50629357).

Almost surely, 2^101258713 is an apocalyptic number.

It is an amenable number.

101258713 is a deficient number, since it is larger than the sum of its proper divisors (1).

101258713 is an equidigital number, since it uses as much as digits as its factorization.

101258713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 101258713 is about 10062.7388418859. The cubic root of 101258713 is about 466.0982450488.

The spelling of 101258713 in words is "one hundred one million, two hundred fifty-eight thousand, seven hundred thirteen".