99900013 has 2 divisors, whose sum is σ = 99900014. Its totient is φ = 99900012.

The previous prime is 99900001. The next prime is 99900029. The reversal of 99900013 is 31000999.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65642404 + 34257609 = 8102^2 + 5853^2 .

It is an emirp because it is prime and its reverse (31000999) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 99900013 - 2⁵ = 99899981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (99900113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49950006 + 49950007.

It is an arithmetic number, because the mean of its divisors is an integer number (49950007).

Almost surely, 2^99900013 is an apocalyptic number.

It is an amenable number.

99900013 is a deficient number, since it is larger than the sum of its proper divisors (1).

99900013 is an equidigital number, since it uses as much as digits as its factorization.

99900013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 31.

The square root of 99900013 is about 9994.9993996998. Note that the first 3 decimals coincide. The cubic root of 99900013 is about 464.0041322586.

The spelling of 99900013 in words is "ninety-nine million, nine hundred thousand, thirteen".