100313010013 has 2 divisors, whose sum is σ = 100313010014. Its totient is φ = 100313010012.

The previous prime is 100313009987. The next prime is 100313010113. The reversal of 100313010013 is 310010313001.

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., 95900463684 + 4412546329 = 309678^2 + 66427^2 .

It is an emirp because it is prime and its reverse (310010313001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100313010013 - 2²⁵ = 100279455581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100313009975 and 100313010002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100313010113) 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, 50156505006 + 50156505007.

It is an arithmetic number, because the mean of its divisors is an integer number (50156505007).

Almost surely, 2^100313010013 is an apocalyptic number.

It is an amenable number.

100313010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313010013 is an equidigital number, since it uses as much as digits as its factorization.

100313010013 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 13.

Adding to 100313010013 its reverse (310010313001), we get a palindrome (410323323014).

The spelling of 100313010013 in words is "one hundred billion, three hundred thirteen million, ten thousand, thirteen".