9991002013 has 2 divisors, whose sum is σ = 9991002014. Its totient is φ = 9991002012.

The previous prime is 9991001987. The next prime is 9991002089. The reversal of 9991002013 is 3102001999.

9991002013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6868762884 + 3122239129 = 82878^2 + 55877^2 .

It is a cyclic number.

It is not a de Polignac number, because 9991002013 - 2¹³ = 9990993821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9991002013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9991002613) 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, 4995501006 + 4995501007.

It is an arithmetic number, because the mean of its divisors is an integer number (4995501007).

Almost surely, 2^9991002013 is an apocalyptic number.

It is an amenable number.

9991002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9991002013 is an equidigital number, since it uses as much as digits as its factorization.

9991002013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 34.

The square root of 9991002013 is about 99954.9999399730. Note that the first 4 decimals coincide. The cubic root of 9991002013 is about 2153.7883102781.

The spelling of 9991002013 in words is "nine billion, nine hundred ninety-one million, two thousand, thirteen".