100103130013 has 2 divisors, whose sum is σ = 100103130014. Its totient is φ = 100103130012.

The previous prime is 100103130011. The next prime is 100103130077. The reversal of 100103130013 is 310031301001.

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., 73096151769 + 27006978244 = 270363^2 + 164338^2 .

It is a cyclic number.

It is not a de Polignac number, because 100103130013 - 2¹ = 100103130011 is a prime.

Together with 100103130011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100103129975 and 100103130002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100103130011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051565006 + 50051565007.

It is an arithmetic number, because the mean of its divisors is an integer number (50051565007).

Almost surely, 2^100103130013 is an apocalyptic number.

It is an amenable number.

100103130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100103130013 is an equidigital number, since it uses as much as digits as its factorization.

100103130013 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 100103130013 its reverse (310031301001), we get a palindrome (410134431014).

The spelling of 100103130013 in words is "one hundred billion, one hundred three million, one hundred thirty thousand, thirteen".