100005013 has 4 divisors (see below), whose sum is σ = 100038240. Its totient is φ = 99971788.

The previous prime is 100005001. The next prime is 100005023. The reversal of 100005013 is 310500001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100005013 - 2⁵ = 100004981 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 (100005023) 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 3 ways as a sum of consecutive naturals, for example, 11593 + ... + 18286.

It is an arithmetic number, because the mean of its divisors is an integer number (25009560).

Almost surely, 2^100005013 is an apocalyptic number.

It is an amenable number.

100005013 is a deficient number, since it is larger than the sum of its proper divisors (33227).

100005013 is an equidigital number, since it uses as much as digits as its factorization.

100005013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33226.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 100005013 is about 10000.2506468588. The cubic root of 100005013 is about 464.1666393266.

Adding to 100005013 its reverse (310500001), we get a palindrome (410505014).

The spelling of 100005013 in words is "one hundred million, five thousand, thirteen".