1113 has 8 divisors (see below), whose sum is σ = 1728. Its totient is φ = 624.

The previous prime is 1109. The next prime is 1117. The reversal of 1113 is 3111.

1113 is an esthetic number in base 12 and base 13, because in such bases its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (1109) and next prime (1117).

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

It is not a de Polignac number, because 1113 - 2^{2} = 1109 is a prime.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 9, base 10, base 12, base 13 and base 16.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6 + ... + 47.

It is an arithmetic number, because the mean of its divisors is an integer number (216).

It is an amenable number.

1113 is a deficient number, since it is larger than the sum of its proper divisors (615).

1113 is an equidigital number, since it uses as much as digits as its factorization.

1113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63.

The product of its digits is 3, while the sum is 6.

The square root of 1113 is about 33.3616546352. The cubic root of 1113 is about 10.3633075807.

Adding to 1113 its reverse (3111), we get a palindrome (4224).

It can be divided in two parts, 111 and 3, that multiplied together give a palindrome (333).

The spelling of 1113 in words is "one thousand, one hundred thirteen".

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