13110130013 has 2 divisors, whose sum is σ = 13110130014. Its totient is φ = 13110130012.

The previous prime is 13110129913. The next prime is 13110130063. The reversal of 13110130013 is 31003101131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12637806724 + 472323289 = 112418^2 + 21733^2 .

It is a cyclic number.

It is not a de Polignac number, because 13110130013 - 2²⁶ = 13043021149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13110130013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13110130063) 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, 6555065006 + 6555065007.

It is an arithmetic number, because the mean of its divisors is an integer number (6555065007).

Almost surely, 2^13110130013 is an apocalyptic number.

It is an amenable number.

13110130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13110130013 is an equidigital number, since it uses as much as digits as its factorization.

13110130013 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 14.

Adding to 13110130013 its reverse (31003101131), we get a palindrome (44113231144).

The spelling of 13110130013 in words is "thirteen billion, one hundred ten million, one hundred thirty thousand, thirteen".