1990001100013 has 2 divisors, whose sum is σ = 1990001100014. Its totient is φ = 1990001100012.

The previous prime is 1990001099971. The next prime is 1990001100037. The reversal of 1990001100013 is 3100011000991.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1989617449444 + 383650569 = 1410538^2 + 19587^2 .

It is a cyclic number.

It is not a de Polignac number, because 1990001100013 - 2¹³ = 1990001091821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1990001100053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 995000550006 + 995000550007.

It is an arithmetic number, because the mean of its divisors is an integer number (995000550007).

Almost surely, 2^{1990001100013} is an apocalyptic number.

It is an amenable number.

1990001100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1990001100013 is an equidigital number, since it uses as much as digits as its factorization.

1990001100013 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 25.

The spelling of 1990001100013 in words is "one trillion, nine hundred ninety billion, one million, one hundred thousand, thirteen".