990021100001013 has 24 divisors (see below), whose sum is σ = 1435018771368000. Its totient is φ = 657714354045504.

The previous prime is 990021100000987. The next prime is 990021100001023. The reversal of 990021100001013 is 310100001120099.

It is not a de Polignac number, because 990021100001013 - 2⁵ = 990021100000981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990021100001023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102752088 + ... + 111973361.

It is an arithmetic number, because the mean of its divisors is an integer number (59792448807000).

Almost surely, 2^{990021100001013} is an apocalyptic number.

It is an amenable number.

990021100001013 is a deficient number, since it is larger than the sum of its proper divisors (444997671366987).

990021100001013 is a wasteful number, since it uses less digits than its factorization.

990021100001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214727241 (or 214727238 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 990021100001013 in words is "nine hundred ninety trillion, twenty-one billion, one hundred million, one thousand, thirteen".