13038145073 has 2 divisors, whose sum is σ = 13038145074. Its totient is φ = 13038145072.

The previous prime is 13038145049. The next prime is 13038145093. The reversal of 13038145073 is 37054183031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12908822689 + 129322384 = 113617^2 + 11372^2 .

It is a cyclic number.

It is not a de Polignac number, because 13038145073 - 2⁶ = 13038145009 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 (13038145093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6519072536 + 6519072537.

It is an arithmetic number, because the mean of its divisors is an integer number (6519072537).

Almost surely, 2^13038145073 is an apocalyptic number.

It is an amenable number.

13038145073 is a deficient number, since it is larger than the sum of its proper divisors (1).

13038145073 is an equidigital number, since it uses as much as digits as its factorization.

13038145073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 13038145073 in words is "thirteen billion, thirty-eight million, one hundred forty-five thousand, seventy-three".