80003000013 has 32 divisors (see below), whose sum is σ = 107928268800. Its totient is φ = 52711295616.

The previous prime is 80002999981. The next prime is 80003000017. The reversal of 80003000013 is 31000030008.

It is not a de Polignac number, because 80003000013 - 2⁵ = 80002999981 is a prime.

It is a super-2 number, since 2×80003000013² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 80002999956 and 80003000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80003000017) 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 31 ways as a sum of consecutive naturals, for example, 121400278 + ... + 121400936.

It is an arithmetic number, because the mean of its divisors is an integer number (3372758400).

Almost surely, 2^80003000013 is an apocalyptic number.

It is an amenable number.

80003000013 is a deficient number, since it is larger than the sum of its proper divisors (27925268787).

80003000013 is a wasteful number, since it uses less digits than its factorization.

80003000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841.

The product of its (nonzero) digits is 72, while the sum is 15.

The spelling of 80003000013 in words is "eighty billion, three million, thirteen", and thus it is an aban number and an uban number.