1013

1,013 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 1013 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

1013 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 1013:

1013

See below for interesting mathematical facts about the number 1013 from the Numbermatics database.

Names of 1013

Cardinal: 1013 can be written as One thousand and thirteen.

Scientific notation

Scientific notation: 1.013 × 10³

Factors of 1013

Number of distinct prime factors ω(n): 1
Total number of prime factors Ω(n): 1
Sum of prime factors: 1013

Divisors of 1013

Number of divisors d(n): 2
Complete list of divisors:
1 1013
Sum of all divisors σ(n): 1014
Sum of proper divisors (its aliquot sum) s(n): 1
1013 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1012

Bases of 1013

Binary: 1111110101₂
Hexadecimal: 0x3F5
Base-36: S5

Squares and roots of 1013

1013 squared (1013²) is 1026169
1013 cubed (1013³) is 1039509197
The square root of 1013 is 31.8276609255
The cube root of 1013 is 10.0431469001

Scales and comparisons

How big is 1013?

1,013 seconds is equal to 16 minutes, 53 seconds.
To count from 1 to 1,013 would take you about sixteen minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
A cube with a volume of 1013 cubic inches would be around 0.8 feet tall.

Recreational maths with 1013

1013 backwards is 3101
The number of decimal digits it has is: 4
The sum of 1013's digits is 5
More coming soon!

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The information we have on file for 1013 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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