13130313130073 has 2 divisors, whose sum is σ = 13130313130074. Its totient is φ = 13130313130072.

The previous prime is 13130313129977. The next prime is 13130313130219. The reversal of 13130313130073 is 37003131303131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9353400738889 + 3776912391184 = 3058333^2 + 1943428^2 .

It is a cyclic number.

It is not a de Polignac number, because 13130313130073 - 2¹⁸ = 13130312867929 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13130313130973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565156565036 + 6565156565037.

It is an arithmetic number, because the mean of its divisors is an integer number (6565156565037).

Almost surely, 2^{13130313130073} is an apocalyptic number.

It is an amenable number.

13130313130073 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130313130073 is an equidigital number, since it uses as much as digits as its factorization.

13130313130073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103, while the sum is 29.

The spelling of 13130313130073 in words is "thirteen trillion, one hundred thirty billion, three hundred thirteen million, one hundred thirty thousand, seventy-three".