Is 11113 a prime number? What are the divisors of 11113?

## Is 11113 a prime number?

Yes, 11113 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 11113, the only two divisors are 1 and 11113. Therefore 11113 is a prime number.

As a consequence, 11113 is only a multiple of 1 and 11113.

Since 11113 is a prime number, 11113 is also a deficient number, that is to say 11113 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11113 without 11113 itself (that is 1, by definition!).

## Parity of 11113

11113 is an odd number, because it is not evenly divisible by 2.

## Is 11113 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 11113 is about 105.418.

Thus, the square root of 11113 is not an integer, and therefore 11113 is not a square number.

Anyway, 11113 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11113?

The square of a number (here 11113) is the result of the product of this number (11113) by itself (i.e., 11113 × 11113); the square of 11113 is sometimes called "raising 11113 to the power 2", or "11113 squared".

The square of 11113 is 123 498 769 because 11113 × 11113 = 111132 = 123 498 769.

As a consequence, 11113 is the square root of 123 498 769.

## Number of digits of 11113

11113 is a number with 5 digits.

## What are the multiples of 11113?

The multiples of 11113 are all integers evenly divisible by 11113, that is all numbers such that the remainder of the division by 11113 is zero. There are infinitely many multiples of 11113. The smallest multiples of 11113 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11113 too, since 0 × 11113 = 0
• 11113: indeed, 11113 is a multiple of itself, since 11113 is evenly divisible by 11113 (we have 11113 / 11113 = 1, so the remainder of this division is indeed zero)
• 22 226: indeed, 22 226 = 11113 × 2
• 33 339: indeed, 33 339 = 11113 × 3
• 44 452: indeed, 44 452 = 11113 × 4
• 55 565: indeed, 55 565 = 11113 × 5
• etc.

## Nearest numbers from 11113

Find out whether some integer is a prime number