113033 has 8 divisors (see below), whose sum is σ = 122760. Its totient is φ = 103680.

The previous prime is 113027. The next prime is 113039. The reversal of 113033 is 330311.

It is an interprime number because it is at equal distance from previous prime (113027) and next prime (113039).

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 100489 = 112^2 + 317^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 113033 - 2⁴ = 113017 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 (113039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 983 + ... + 1091.

It is an arithmetic number, because the mean of its divisors is an integer number (15345).

2¹¹³⁰³³ is an apocalyptic number.

It is an amenable number.

113033 is a deficient number, since it is larger than the sum of its proper divisors (9727).

113033 is a wasteful number, since it uses less digits than its factorization.

113033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 113033 is about 336.2038072360. The cubic root of 113033 is about 48.3505870493.

Adding to 113033 its reverse (330311), we get a palindrome (443344).

The spelling of 113033 in words is "one hundred thirteen thousand, thirty-three".