113121288 has 96 divisors (see below), whose sum is σ = 368596800. Its totient is φ = 30616704.

The previous prime is 113121287. The next prime is 113121299. The reversal of 113121288 is 882121311.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113121287) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3670 + ... + 15482.

It is an arithmetic number, because the mean of its divisors is an integer number (3839550).

Almost surely, 2^113121288 is an apocalyptic number.

113121288 is a gapful number since it is divisible by the number (18) 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 113121288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184298400).

113121288 is an abundant number, since it is smaller than the sum of its proper divisors (255475512).

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

113121288 is a wasteful number, since it uses less digits than its factorization.

113121288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11851 (or 11844 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 113121288 is about 10635.8491903562. The cubic root of 113121288 is about 483.6317235827.

Adding to 113121288 its reverse (882121311), we get a palindrome (995242599).

The spelling of 113121288 in words is "one hundred thirteen million, one hundred twenty-one thousand, two hundred eighty-eight".