100000101713 has 2 divisors, whose sum is σ = 100000101714. Its totient is φ = 100000101712.

The previous prime is 100000101709. The next prime is 100000101763. The reversal of 100000101713 is 317101000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88484236369 + 11515865344 = 297463^2 + 107312^2 .

It is an emirp because it is prime and its reverse (317101000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100000101713 - 2² = 100000101709 is a prime.

It is a super-2 number, since 2×100000101713² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100000101763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000050856 + 50000050857.

It is an arithmetic number, because the mean of its divisors is an integer number (50000050857).

Almost surely, 2^100000101713 is an apocalyptic number.

It is an amenable number.

100000101713 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000101713 is an equidigital number, since it uses as much as digits as its factorization.

100000101713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 14.

Adding to 100000101713 its reverse (317101000001), we get a palindrome (417101101714).

The spelling of 100000101713 in words is "one hundred billion, one hundred one thousand, seven hundred thirteen".