111331441 has 8 divisors (see below), whose sum is σ = 122820264. Its totient is φ = 100260480.

The previous prime is 111331427. The next prime is 111331463. The reversal of 111331441 is 144133111.

It can be written as a sum of positive squares in 4 ways, for example, as 2337841 + 108993600 = 1529^2 + 10440^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111331441 - 2⁹ = 111330929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111331741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103906 + ... + 104971.

It is an arithmetic number, because the mean of its divisors is an integer number (15352533).

Almost surely, 2^111331441 is an apocalyptic number.

It is an amenable number.

111331441 is a deficient number, since it is larger than the sum of its proper divisors (11488823).

111331441 is a wasteful number, since it uses less digits than its factorization.

111331441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208931.

The product of its digits is 144, while the sum is 19.

The square root of 111331441 is about 10551.3715222240. The cubic root of 111331441 is about 481.0674176447.

Adding to 111331441 its reverse (144133111), we get a palindrome (255464552).

The spelling of 111331441 in words is "one hundred eleven million, three hundred thirty-one thousand, four hundred forty-one".