9991335313 has 2 divisors, whose sum is σ = 9991335314. Its totient is φ = 9991335312.

The previous prime is 9991335301. The next prime is 9991335331. The reversal of 9991335313 is 3135331999.

9991335313 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

Together with next prime (9991335331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8481857409 + 1509477904 = 92097^2 + 38852^2 .

It is a cyclic number.

It is not a de Polignac number, because 9991335313 - 2⁵ = 9991335281 is a prime.

It is not a weakly prime, because it can be changed into another prime (9991335373) 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, 4995667656 + 4995667657.

It is an arithmetic number, because the mean of its divisors is an integer number (4995667657).

Almost surely, 2^9991335313 is an apocalyptic number.

It is an amenable number.

9991335313 is a deficient number, since it is larger than the sum of its proper divisors (1).

9991335313 is an equidigital number, since it uses as much as digits as its factorization.

9991335313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 295245, while the sum is 46.

The square root of 9991335313 is about 99956.6671763320. The cubic root of 9991335313 is about 2153.8122601502.

The spelling of 9991335313 in words is "nine billion, nine hundred ninety-one million, three hundred thirty-five thousand, three hundred thirteen".