100013230013 has 2 divisors, whose sum is σ = 100013230014. Its totient is φ = 100013230012.

The previous prime is 100013229989. The next prime is 100013230033. The reversal of 100013230013 is 310032310001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69916878724 + 30096351289 = 264418^2 + 173483^2 .

It is an emirp because it is prime and its reverse (310032310001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100013230013 - 2²⁸ = 99744794557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100013230013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100013230033) 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, 50006615006 + 50006615007.

It is an arithmetic number, because the mean of its divisors is an integer number (50006615007).

Almost surely, 2^100013230013 is an apocalyptic number.

It is an amenable number.

100013230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013230013 is an equidigital number, since it uses as much as digits as its factorization.

100013230013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100013230013 its reverse (310032310001), we get a palindrome (410045540014).

The spelling of 100013230013 in words is "one hundred billion, thirteen million, two hundred thirty thousand, thirteen".