100002000000013 has 8 divisors (see below), whose sum is σ = 100035127202720. Its totient is φ = 99968873865840.

The previous prime is 100001999999983. The next prime is 100002000000047. The reversal of 100002000000013 is 310000000200001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100002000000013 - 2³³ = 99993410065421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001999999942 and 100002000000005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002000010013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215653318 + ... + 216116536.

It is an arithmetic number, because the mean of its divisors is an integer number (12504390900340).

Almost surely, 2^{100002000000013} is an apocalyptic number.

It is an amenable number.

100002000000013 is a deficient number, since it is larger than the sum of its proper divisors (33127202707).

100002000000013 is an equidigital number, since it uses as much as digits as its factorization.

100002000000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534267.

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 100002000000013 its reverse (310000000200001), we get a palindrome (410002000200014).

The spelling of 100002000000013 in words is "one hundred trillion, two billion, thirteen", and thus it is an aban number.