113310 has 24 divisors (see below), whose sum is σ = 294840. Its totient is φ = 30192.

The previous prime is 113287. The next prime is 113327. The reversal of 113310 is 13311.

It is a super-3 number, since 3×113310³ = 4364414333073000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113292 and 113301.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 540 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2¹¹³³¹⁰ is an apocalyptic number.

113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113310 is an abundant number, since it is smaller than the sum of its proper divisors (181530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113310 is a wasteful number, since it uses less digits than its factorization.

113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 113310 is about 336.6155076642. The cubic root of 113310 is about 48.3900510024.

Adding to 113310 its reverse (13311), we get a palindrome (126621).

Subtracting from 113310 its reverse (13311), we obtain a palindrome (99999).

It can be divided in two parts, 11 and 3310, that added together give a triangular number (3321 = T₈₁).

The spelling of 113310 in words is "one hundred thirteen thousand, three hundred ten".