13130313129509 has 2 divisors, whose sum is σ = 13130313129510. Its totient is φ = 13130313129508.

The previous prime is 13130313129407. The next prime is 13130313129607. The reversal of 13130313129509 is 90592131303131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9498323344225 + 3631989785284 = 3081935^2 + 1905778^2 .

It is a cyclic number.

It is not a de Polignac number, because 13130313129509 - 2³⁶ = 13061593652773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13130313128509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565156564754 + 6565156564755.

It is an arithmetic number, because the mean of its divisors is an integer number (6565156564755).

Almost surely, 2^{13130313129509} is an apocalyptic number.

It is an amenable number.

13130313129509 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130313129509 is an equidigital number, since it uses as much as digits as its factorization.

13130313129509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65610, while the sum is 41.

The spelling of 13130313129509 in words is "thirteen trillion, one hundred thirty billion, three hundred thirteen million, one hundred twenty-nine thousand, five hundred nine".