100010005013 has 2 divisors, whose sum is σ = 100010005014. Its totient is φ = 100010005012.

The previous prime is 100010005003. The next prime is 100010005061. The reversal of 100010005013 is 310500010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64220175889 + 35789829124 = 253417^2 + 189182^2 .

It is an emirp because it is prime and its reverse (310500010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100010005013 - 2²⁶ = 99942896149 is a prime.

It is a super-2 number, since 2×100010005013² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100010004985 and 100010005003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010005003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005002506 + 50005002507.

It is an arithmetic number, because the mean of its divisors is an integer number (50005002507).

Almost surely, 2^100010005013 is an apocalyptic number.

It is an amenable number.

100010005013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010005013 is an equidigital number, since it uses as much as digits as its factorization.

100010005013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 11.

Adding to 100010005013 its reverse (310500010001), we get a palindrome (410510015014).

The spelling of 100010005013 in words is "one hundred billion, ten million, five thousand, thirteen".