13130310122113 has 16 divisors (see below), whose sum is σ = 13474526562000. Its totient is φ = 12787241195520.

The previous prime is 13130310122081. The next prime is 13130310122161. The reversal of 13130310122113 is 31122101303131.

13130310122113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8355984611584 + 4774325510529 = 2890672^2 + 2185023^2 .

It is a cyclic number.

It is not a de Polignac number, because 13130310122113 - 2⁵ = 13130310122081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13130310122173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184666873 + ... + 184737961.

It is an arithmetic number, because the mean of its divisors is an integer number (842157910125).

Almost surely, 2^{13130310122113} is an apocalyptic number.

It is an amenable number.

13130310122113 is a deficient number, since it is larger than the sum of its proper divisors (344216439887).

13130310122113 is an equidigital number, since it uses as much as digits as its factorization.

13130310122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79092.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13130310122113 its reverse (31122101303131), we get a palindrome (44252411425244).

The spelling of 13130310122113 in words is "thirteen trillion, one hundred thirty billion, three hundred ten million, one hundred twenty-two thousand, one hundred thirteen".