111813 has 16 divisors (see below), whose sum is σ = 166656. Its totient is φ = 66240.

The previous prime is 111799. The next prime is 111821. The reversal of 111813 is 318111.

It is not a de Polignac number, because 111813 - 2⁵ = 111781 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111792 and 111801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1803 + ... + 1863.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2¹¹¹⁸¹³ is an apocalyptic number.

111813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111813 is a deficient number, since it is larger than the sum of its proper divisors (54843).

111813 is a wasteful number, since it uses less digits than its factorization.

111813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

The product of its digits is 24, while the sum is 15.

The square root of 111813 is about 334.3845092106. The cubic root of 111813 is about 48.1760031603.

Adding to 111813 its reverse (318111), we get a palindrome (429924).

The spelling of 111813 in words is "one hundred eleven thousand, eight hundred thirteen".