13130010013 has 2 divisors, whose sum is σ = 13130010014. Its totient is φ = 13130010012.

The previous prime is 13130010001. The next prime is 13130010031. The reversal of 13130010013 is 31001003131.

It is a happy number.

13130010013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (13130010031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10427881689 + 2702128324 = 102117^2 + 51982^2 .

It is a cyclic number.

It is not a de Polignac number, because 13130010013 - 2¹³ = 13130001821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13130009975 and 13130010002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13130010613) 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, 6565005006 + 6565005007.

It is an arithmetic number, because the mean of its divisors is an integer number (6565005007).

Almost surely, 2^13130010013 is an apocalyptic number.

It is an amenable number.

13130010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130010013 is an equidigital number, since it uses as much as digits as its factorization.

13130010013 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 13130010013 its reverse (31001003131), we get a palindrome (44131013144).

The spelling of 13130010013 in words is "thirteen billion, one hundred thirty million, ten thousand, thirteen".