9966513013 has 2 divisors, whose sum is σ = 9966513014. Its totient is φ = 9966513012.

The previous prime is 9966512993. The next prime is 9966513031. The reversal of 9966513013 is 3103156699.

9966513013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (9966513031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8642863089 + 1323649924 = 92967^2 + 36382^2 .

It is a cyclic number.

It is not a de Polignac number, because 9966513013 - 2¹⁷ = 9966381941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9966313013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4983256506 + 4983256507.

It is an arithmetic number, because the mean of its divisors is an integer number (4983256507).

Almost surely, 2^9966513013 is an apocalyptic number.

It is an amenable number.

9966513013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9966513013 is an equidigital number, since it uses as much as digits as its factorization.

9966513013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 131220, while the sum is 43.

The square root of 9966513013 is about 99832.4246575230. The cubic root of 9966513013 is about 2152.0271497711.

The spelling of 9966513013 in words is "nine billion, nine hundred sixty-six million, five hundred thirteen thousand, thirteen".