Is 10133 a prime number? What are the divisors of 10133?

## Is 10133 a prime number?

Yes, 10133 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 10133, the only two divisors are 1 and 10133. Therefore 10133 is a prime number.

As a consequence, 10133 is only a multiple of 1 and 10133.

Since 10133 is a prime number, 10133 is also a deficient number, that is to say 10133 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10133 without 10133 itself (that is 1, by definition!).

## Parity of 10133

10133 is an odd number, because it is not evenly divisible by 2.

## Is 10133 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 10133 is about 100.663.

Thus, the square root of 10133 is not an integer, and therefore 10133 is not a square number.

Anyway, 10133 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10133?

The square of a number (here 10133) is the result of the product of this number (10133) by itself (i.e., 10133 × 10133); the square of 10133 is sometimes called "raising 10133 to the power 2", or "10133 squared".

The square of 10133 is 102 677 689 because 10133 × 10133 = 101332 = 102 677 689.

As a consequence, 10133 is the square root of 102 677 689.

## Number of digits of 10133

10133 is a number with 5 digits.

## What are the multiples of 10133?

The multiples of 10133 are all integers evenly divisible by 10133, that is all numbers such that the remainder of the division by 10133 is zero. There are infinitely many multiples of 10133. The smallest multiples of 10133 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10133 too, since 0 × 10133 = 0
• 10133: indeed, 10133 is a multiple of itself, since 10133 is evenly divisible by 10133 (we have 10133 / 10133 = 1, so the remainder of this division is indeed zero)
• 20 266: indeed, 20 266 = 10133 × 2
• 30 399: indeed, 30 399 = 10133 × 3
• 40 532: indeed, 40 532 = 10133 × 4
• 50 665: indeed, 50 665 = 10133 × 5
• etc.

## Nearest numbers from 10133

Find out whether some integer is a prime number