110013 has 4 divisors (see below), whose sum is σ = 146688. Its totient is φ = 73340.

The previous prime is 109987. The next prime is 110017. The reversal of 110013 is 310011.

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 110013 - 2¹⁴ = 93629 is a prime.

It is a D-number.

110013 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 109983 and 110010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110017) 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, 18333 + ... + 18338.

It is an arithmetic number, because the mean of its divisors is an integer number (36672).

2¹¹⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

110013 is a deficient number, since it is larger than the sum of its proper divisors (36675).

110013 is an equidigital number, since it uses as much as digits as its factorization.

110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36674.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 110013 is about 331.6820766939. The cubic root of 110013 is about 47.9160860253.

Adding to 110013 its reverse (310011), we get a palindrome (420024).

The spelling of 110013 in words is "one hundred ten thousand, thirteen".