113003280 has 120 divisors (see below), whose sum is σ = 408729048. Its totient is φ = 27813888.

The previous prime is 113003249. The next prime is 113003281. The reversal of 113003280 is 82300311.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 108743184 = 2064^2 + 10428^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113003281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3324 + ... + 15396.

Almost surely, 2^113003280 is an apocalyptic number.

113003280 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 113003280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204364524).

113003280 is an abundant number, since it is smaller than the sum of its proper divisors (295725768).

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

113003280 is a wasteful number, since it uses less digits than its factorization.

113003280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12105 (or 12096 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113003280 is about 10630.3000898375. The cubic root of 113003280 is about 483.4634903795.

Adding to 113003280 its reverse (82300311), we get a palindrome (195303591).

The spelling of 113003280 in words is "one hundred thirteen million, three thousand, two hundred eighty".