113301441 has 24 divisors (see below), whose sum is σ = 178869600. Its totient is φ = 68539200.

The previous prime is 113301421. The next prime is 113301457. The reversal of 113301441 is 144103311.

It is not a de Polignac number, because 113301441 - 2¹¹ = 113299393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113301421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103306 + ... + 104396.

It is an arithmetic number, because the mean of its divisors is an integer number (7452900).

Almost surely, 2^113301441 is an apocalyptic number.

113301441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113301441 is a deficient number, since it is larger than the sum of its proper divisors (65568159).

113301441 is a wasteful number, since it uses less digits than its factorization.

113301441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2154 counting only the distinct ones).

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

The square root of 113301441 is about 10644.3149615182. The cubic root of 113301441 is about 483.8883257253. Note that the first 3 decimals are identical.

Adding to 113301441 its reverse (144103311), we get a palindrome (257404752).

The spelling of 113301441 in words is "one hundred thirteen million, three hundred one thousand, four hundred forty-one".