113331 has 8 divisors (see below), whose sum is σ = 155344. Its totient is φ = 73440.

The previous prime is 113329. The next prime is 113341. The reversal of 113331 is 133311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 113331 - 2¹ = 113329 is a prime.

It is a super-3 number, since 3×113331³ = 4366841383331073, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (19418).

2¹¹³³³¹ is an apocalyptic number.

113331 is a deficient number, since it is larger than the sum of its proper divisors (42013).

113331 is a wasteful number, since it uses less digits than its factorization.

113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061.

The product of its digits is 27, while the sum is 12.

The square root of 113331 is about 336.6466990778. The cubic root of 113331 is about 48.3930402305.

Adding to 113331 its reverse (133311), we get a palindrome (246642).

It can be divided in two parts, 113 and 331, that added together give a palindrome (444).

The spelling of 113331 in words is "one hundred thirteen thousand, three hundred thirty-one".