90090099009013 has 2 divisors, whose sum is σ = 90090099009014. Its totient is φ = 90090099009012.

The previous prime is 90090099008969. The next prime is 90090099009019. The reversal of 90090099009013 is 31090099009009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87675375701169 + 2414723307844 = 9363513^2 + 1553938^2 .

It is a cyclic number.

It is not a de Polignac number, because 90090099009013 - 2⁴⁵ = 54905726920181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90090099009019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45045049504506 + 45045049504507.

It is an arithmetic number, because the mean of its divisors is an integer number (45045049504507).

Almost surely, 2^{90090099009013} is an apocalyptic number.

It is an amenable number.

90090099009013 is a deficient number, since it is larger than the sum of its proper divisors (1).

90090099009013 is an equidigital number, since it uses as much as digits as its factorization.

90090099009013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 177147, while the sum is 49.

The spelling of 90090099009013 in words is "ninety trillion, ninety billion, ninety-nine million, nine thousand, thirteen".