113241216 has 256 divisors, whose sum is σ = 370137600. Its totient is φ = 30228480.

The previous prime is 113241179. The next prime is 113241217. The reversal of 113241216 is 612142311.

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

It is a junction number, because it is equal to n+sod(n) for n = 113241192 and 113241201.

It is not an unprimeable number, because it can be changed into a prime (113241217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364311 + ... + 1364393.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

Almost surely, 2^113241216 is an apocalyptic number.

113241216 is a gapful number since it is divisible by the number (16) 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 113241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

113241216 is an abundant number, since it is smaller than the sum of its proper divisors (256896384).

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

113241216 is a wasteful number, since it uses less digits than its factorization.

113241216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 113241216 is about 10641.4856105715. The cubic root of 113241216 is about 483.8025741256.

Adding to 113241216 its reverse (612142311), we get a palindrome (725383527).

The spelling of 113241216 in words is "one hundred thirteen million, two hundred forty-one thousand, two hundred sixteen".