100013 has 4 divisors (see below), whose sum is σ = 101088. Its totient is φ = 98940.

The previous prime is 100003. The next prime is 100019. The reversal of 100013 is 310001.

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 a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 310001 = 41 ⋅7561.

It is a cyclic number.

It is not a de Polignac number, because 100013 - 2¹² = 95917 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 (100019) 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, 383 + ... + 588.

It is an arithmetic number, because the mean of its divisors is an integer number (25272).

2¹⁰⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

100013 is a deficient number, since it is larger than the sum of its proper divisors (1075).

100013 is an equidigital number, since it uses as much as digits as its factorization.

100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074.

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

The square root of 100013 is about 316.2483201536. The cubic root of 100013 is about 46.4178996041.

Adding to 100013 its reverse (310001), we get a palindrome (410014).

It can be divided in two parts, 10001 and 3, that multiplied together give a palindrome (30003).

The spelling of 100013 in words is "one hundred thousand, thirteen".