Is 1013 a prime number? What are the divisors of 1013?

Is 1013 a prime number?

Yes, 1013 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 1013, the only two divisors are 1 and 1013. Therefore 1013 is a prime number.

As a consequence, 1013 is only a multiple of 1 and 1013.

Since 1013 is a prime number, 1013 is also a deficient number, that is to say 1013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1013 without 1013 itself (that is 1, by definition!).

Parity of 1013

1013 is an odd number, because it is not evenly divisible by 2.

Is 1013 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 1013 is about 31.828.

Thus, the square root of 1013 is not an integer, and therefore 1013 is not a square number.

Anyway, 1013 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 1013?

The square of a number (here 1013) is the result of the product of this number (1013) by itself (i.e., 1013 × 1013); the square of 1013 is sometimes called "raising 1013 to the power 2", or "1013 squared".

The square of 1013 is 1 026 169 because 1013 × 1013 = 10132 = 1 026 169.

As a consequence, 1013 is the square root of 1 026 169.

Number of digits of 1013

1013 is a number with 4 digits.

What are the multiples of 1013?

The multiples of 1013 are all integers evenly divisible by 1013, that is all numbers such that the remainder of the division by 1013 is zero. There are infinitely many multiples of 1013. The smallest multiples of 1013 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1013 too, since 0 × 1013 = 0
  • 1013: indeed, 1013 is a multiple of itself, since 1013 is evenly divisible by 1013 (we have 1013 / 1013 = 1, so the remainder of this division is indeed zero)
  • 2 026: indeed, 2 026 = 1013 × 2
  • 3 039: indeed, 3 039 = 1013 × 3
  • 4 052: indeed, 4 052 = 1013 × 4
  • 5 065: indeed, 5 065 = 1013 × 5
  • etc.

Numbers near 1013

Nearest numbers from 1013

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