13000300073 has 2 divisors, whose sum is σ = 13000300074. Its totient is φ = 13000300072.

The previous prime is 13000300013. The next prime is 13000300147. The reversal of 13000300073 is 37000300031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10846597609 + 2153702464 = 104147^2 + 46408^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000300073 - 2¹⁰ = 13000299049 is a prime.

It is not a weakly prime, because it can be changed into another prime (13000300013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500150036 + 6500150037.

It is an arithmetic number, because the mean of its divisors is an integer number (6500150037).

Almost surely, 2^13000300073 is an apocalyptic number.

It is an amenable number.

13000300073 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000300073 is an equidigital number, since it uses as much as digits as its factorization.

13000300073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 17.

The spelling of 13000300073 in words is "thirteen billion, three hundred thousand, seventy-three".