100013012320313 has 2 divisors, whose sum is σ = 100013012320314. Its totient is φ = 100013012320312.

The previous prime is 100013012320231. The next prime is 100013012320387. The reversal of 100013012320313 is 313023210310001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94053686704384 + 5959325615929 = 9698128^2 + 2441173^2 .

It is a cyclic number.

It is not a de Polignac number, because 100013012320313 - 2¹⁰ = 100013012319289 is a prime.

It is a super-2 number, since 2×100013012320313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100013012323313) 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, 50006506160156 + 50006506160157.

It is an arithmetic number, because the mean of its divisors is an integer number (50006506160157).

Almost surely, 2^{100013012320313} is an apocalyptic number.

It is an amenable number.

100013012320313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013012320313 is an equidigital number, since it uses as much as digits as its factorization.

100013012320313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100013012320313 its reverse (313023210310001), we get a palindrome (413036222630314).

The spelling of 100013012320313 in words is "one hundred trillion, thirteen billion, twelve million, three hundred twenty thousand, three hundred thirteen".