Is 2013 a prime number?

2 013 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even 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 2 013 is about 44.866.

Thus, the square root of 2 013 is not an integer, and therefore 2 013 is not a square number.

The square of a number (here 2 013) is the result of the product of this number (2 013) by itself (i.e., 2 013 × 2 013); the square of 2 013 is sometimes called "raising 2 013 to the power 2", or "2 013 squared".

The square of 2 013 is 4 052 169 because 2 013 × 2 013 = 2 013² = 4 052 169.

As a consequence, 2 013 is the square root of 4 052 169.

2 013 is a number with 4 digits.

The multiples of 2 013 are all integers evenly divisible by 2 013, that is all numbers such that the remainder of the division by 2 013 is zero. There are infinitely many multiples of 2 013. The smallest multiples of 2 013 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 013 too, since 0 × 2 013 = 0
• 2 013: indeed, 2 013 is a multiple of itself, since 2 013 is evenly divisible by 2 013 (we have 2 013 / 2 013 = 1, so the remainder of this division is indeed zero)
• 4 026: indeed, 4 026 = 2 013 × 2
• 6 039: indeed, 6 039 = 2 013 × 3
• 8 052: indeed, 8 052 = 2 013 × 4
• 10 065: indeed, 10 065 = 2 013 × 5
• etc.

• Preceding numbers: …2 011, 2 012
• Following numbers: 2 014, 2 015…

Nearest numbers from 2 013

• Preceding prime number: 2 011
• Following prime number: 2 017

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• 2 013 est-il un nombre premier ?