80002000013 has 16 divisors (see below), whose sum is σ = 89038471536. Its totient is φ = 71409192960.

The previous prime is 80001999997. The next prime is 80002000019. The reversal of 80002000013 is 31000020008.

80002000013 = 200002² + 200003².

It can be written as a sum of positive squares in 8 ways, for example, as 22868093284 + 57133906729 = 151222^2 + 239027^2 .

It is a cyclic number.

It is not a de Polignac number, because 80002000013 - 2⁴ = 80001999997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80002000019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603920 + ... + 724377.

It is an arithmetic number, because the mean of its divisors is an integer number (5564904471).

Almost surely, 2^80002000013 is an apocalyptic number.

80002000013 is the 200003-rd centered square number.

It is an amenable number.

80002000013 is a deficient number, since it is larger than the sum of its proper divisors (9036471523).

80002000013 is a wasteful number, since it uses less digits than its factorization.

80002000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328464.

The product of its (nonzero) digits is 48, while the sum is 14.

The spelling of 80002000013 in words is "eighty billion, two million, thirteen", and thus it is an aban number and an uban number.