100300113113 has 2 divisors, whose sum is σ = 100300113114. Its totient is φ = 100300113112.

The previous prime is 100300113083. The next prime is 100300113149. The reversal of 100300113113 is 311311003001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84851611849 + 15448501264 = 291293^2 + 124292^2 .

It is an emirp because it is prime and its reverse (311311003001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100300113113 - 2¹² = 100300109017 is a prime.

It is a super-2 number, since 2×100300113113² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100300413113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50150056556 + 50150056557.

It is an arithmetic number, because the mean of its divisors is an integer number (50150056557).

Almost surely, 2^100300113113 is an apocalyptic number.

It is an amenable number.

100300113113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100300113113 is an equidigital number, since it uses as much as digits as its factorization.

100300113113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 100300113113 its reverse (311311003001), we get a palindrome (411611116114).

The spelling of 100300113113 in words is "one hundred billion, three hundred million, one hundred thirteen thousand, one hundred thirteen".