13130434503013 has 6 divisors (see below), whose sum is σ = 13567660210662. Its totient is φ = 12706872098760.

The previous prime is 13130434502987. The next prime is 13130434503023. The reversal of 13130434503013 is 31030543403131.

13130434503013 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 only one way, i.e., 9383972308929 + 3746462194084 = 3063327^2 + 1935578^2 .

It is not a de Polignac number, because 13130434503013 - 2¹⁷ = 13130434371941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130434503023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6831650706 + ... + 6831652627.

It is an arithmetic number, because the mean of its divisors is an integer number (2261276701777).

Almost surely, 2^{13130434503013} is an apocalyptic number.

It is an amenable number.

13130434503013 is a deficient number, since it is larger than the sum of its proper divisors (437225707649).

13130434503013 is an equidigital number, since it uses as much as digits as its factorization.

13130434503013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13663303395 (or 13663303364 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 13130434503013 its reverse (31030543403131), we get a palindrome (44160977906144).

The spelling of 13130434503013 in words is "thirteen trillion, one hundred thirty billion, four hundred thirty-four million, five hundred three thousand, thirteen".