113320 has 16 divisors (see below), whose sum is σ = 255060. Its totient is φ = 45312.

The previous prime is 113287. The next prime is 113327. The reversal of 113320 is 23311.

It can be written as a sum of positive squares in 2 ways, for example, as 111556 + 1764 = 334^2 + 42^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 113297 and 113306.

It is not an unprimeable number, because it can be changed into a prime (113327) by changing a digit.

113320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1377 + ... + 1456.

2¹¹³³²⁰ is an apocalyptic number.

113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113320 is an abundant number, since it is smaller than the sum of its proper divisors (141740).

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

113320 is a wasteful number, since it uses less digits than its factorization.

113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 113320 is about 336.6303610787. The cubic root of 113320 is about 48.3914744904.

Adding to 113320 its reverse (23311), we get a palindrome (136631).

Subtracting from 113320 its reverse (23311), we obtain a palindrome (90009).

The spelling of 113320 in words is "one hundred thirteen thousand, three hundred twenty".