Is 101113 a prime number?

101 113 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 101 113 is about 317.983.

Thus, the square root of 101 113 is not an integer, and therefore 101 113 is not a square number.

Anyway, 101 113 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 101 113) is the result of the product of this number (101 113) by itself (i.e., 101 113 × 101 113); the square of 101 113 is sometimes called "raising 101 113 to the power 2", or "101 113 squared".

The square of 101 113 is 10 223 838 769 because 101 113 × 101 113 = 101 113² = 10 223 838 769.

As a consequence, 101 113 is the square root of 10 223 838 769.

101 113 is a number with 6 digits.

The multiples of 101 113 are all integers evenly divisible by 101 113, that is all numbers such that the remainder of the division by 101 113 is zero. There are infinitely many multiples of 101 113. The smallest multiples of 101 113 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 101 113 too, since 0 × 101 113 = 0
• 101 113: indeed, 101 113 is a multiple of itself, since 101 113 is evenly divisible by 101 113 (we have 101 113 / 101 113 = 1, so the remainder of this division is indeed zero)
• 202 226: indeed, 202 226 = 101 113 × 2
• 303 339: indeed, 303 339 = 101 113 × 3
• 404 452: indeed, 404 452 = 101 113 × 4
• 505 565: indeed, 505 565 = 101 113 × 5
• etc.

• Preceding numbers: …101 111, 101 112
• Following numbers: 101 114, 101 115…

Nearest numbers from 101 113

• Preceding prime number: 101 111
• Following prime number: 101 117

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• 101 113 est-il un nombre premier ?