100000013 has 4 divisors (see below), whose sum is σ = 100121760. Its totient is φ = 99878268.

The previous prime is 100000007. The next prime is 100000037. The reversal of 100000013 is 310000001.

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, and also an emirpimes, since its reverse is a distinct semiprime: 310000001 = 1171 ⋅264731.

It is a cyclic number.

It is not a de Polignac number, because 100000013 - 2²² = 95805709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 99999952 and 100000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59633 + ... + 61286.

It is an arithmetic number, because the mean of its divisors is an integer number (25030440).

Almost surely, 2^100000013 is an apocalyptic number.

It is an amenable number.

100000013 is a deficient number, since it is larger than the sum of its proper divisors (121747).

100000013 is an equidigital number, since it uses as much as digits as its factorization.

100000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121746.

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 100000013 is about 10000.0006500000. Note that the first 3 decimals coincide. The cubic root of 100000013 is about 464.1589034748.

Adding to 100000013 its reverse (310000001), we get a palindrome (410000014).

It can be divided in two parts, 10000001 and 3, that multiplied together give a palindrome (30000003).

The spelling of 100000013 in words is "one hundred million, thirteen", and thus it is an aban number.