100113312269 has 2 divisors, whose sum is σ = 100113312270. Its totient is φ = 100113312268.

The previous prime is 100113312263. The next prime is 100113312311. The reversal of 100113312269 is 962213311001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64509396169 + 35603916100 = 253987^2 + 188690^2 .

It is an emirp because it is prime and its reverse (962213311001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100113312269 is a prime.

It is a super-2 number, since 2×100113312269² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100113312263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056656134 + 50056656135.

It is an arithmetic number, because the mean of its divisors is an integer number (50056656135).

Almost surely, 2^100113312269 is an apocalyptic number.

It is an amenable number.

100113312269 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113312269 is an equidigital number, since it uses as much as digits as its factorization.

100113312269 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 100113312269 in words is "one hundred billion, one hundred thirteen million, three hundred twelve thousand, two hundred sixty-nine".