99013 has 2 divisors, whose sum is σ = 99014. Its totient is φ = 99012.

The previous prime is 98999. The next prime is 99017. The reversal of 99013 is 31099.

99013 = 222² + 223².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49729 + 49284 = 223^2 + 222^2 .

It is a cyclic number.

It is not a de Polignac number, because 99013 - 2⁵ = 98981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (99017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49506 + 49507.

It is an arithmetic number, because the mean of its divisors is an integer number (49507).

2⁹⁹⁰¹³ is an apocalyptic number.

99013 is the 223-rd centered square number.

It is an amenable number.

99013 is a deficient number, since it is larger than the sum of its proper divisors (1).

99013 is an equidigital number, since it uses as much as digits as its factorization.

99013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 22.

The square root of 99013 is about 314.6633121290. The cubic root of 99013 is about 46.2626748801.

The spelling of 99013 in words is "ninety-nine thousand, thirteen".