101013317 has 2 divisors, whose sum is σ = 101013318. Its totient is φ = 101013316.

The previous prime is 101013307. The next prime is 101013331. The reversal of 101013317 is 713310101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94206436 + 6806881 = 9706^2 + 2609^2 .

It is a cyclic number.

It is not a de Polignac number, because 101013317 - 2¹⁰ = 101012293 is a prime.

It is a super-2 number, since 2×101013317² = 20407380422684978, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101013295 and 101013304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101013307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506658 + 50506659.

It is an arithmetic number, because the mean of its divisors is an integer number (50506659).

Almost surely, 2^101013317 is an apocalyptic number.

It is an amenable number.

101013317 is a deficient number, since it is larger than the sum of its proper divisors (1).

101013317 is an equidigital number, since it uses as much as digits as its factorization.

101013317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 101013317 is about 10050.5381447960. The cubic root of 101013317 is about 465.7214176682.

Adding to 101013317 its reverse (713310101), we get a palindrome (814323418).

The spelling of 101013317 in words is "one hundred one million, thirteen thousand, three hundred seventeen".