100101113317 has 2 divisors, whose sum is σ = 100101113318. Its totient is φ = 100101113316.

The previous prime is 100101113309. The next prime is 100101113323. The reversal of 100101113317 is 713311101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89789523201 + 10311590116 = 299649^2 + 101546^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101113317 - 2³ = 100101113309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101113294 and 100101113303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101113347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050556658 + 50050556659.

It is an arithmetic number, because the mean of its divisors is an integer number (50050556659).

Almost surely, 2^100101113317 is an apocalyptic number.

It is an amenable number.

100101113317 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101113317 is an equidigital number, since it uses as much as digits as its factorization.

100101113317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 19.

Adding to 100101113317 its reverse (713311101001), we get a palindrome (813412214318).

The spelling of 100101113317 in words is "one hundred billion, one hundred one million, one hundred thirteen thousand, three hundred seventeen".