113280 has 64 divisors (see below), whose sum is σ = 367200. Its totient is φ = 29696.

The previous prime is 113279. The next prime is 113287. The reversal of 113280 is 82311.

It is a happy number.

113280 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1891 + ... + 1949.

2¹¹³²⁸⁰ is an apocalyptic number.

113280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183600).

113280 is an abundant number, since it is smaller than the sum of its proper divisors (253920).

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

113280 is an equidigital number, since it uses as much as digits as its factorization.

113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 113280 is about 336.5709434874. The cubic root of 113280 is about 48.3857800359.

Adding to 113280 its reverse (82311), we get a palindrome (195591).

It can be divided in two parts, 113 and 280, that added together give a palindrome (393).

The spelling of 113280 in words is "one hundred thirteen thousand, two hundred eighty".