# 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:
• 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
• 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!

MLA style:
"Number 1013 - Facts about the integer". Numbermatics.com. 2023. Web. 30 March 2023.

APA style:
Numbermatics. (2023). Number 1013 - Facts about the integer. Retrieved 30 March 2023, from https://numbermatics.com/n/1013/

Chicago style:
Numbermatics. 2023. "Number 1013 - Facts about the integer". https://numbermatics.com/n/1013/

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!

Keywords: Divisors of 1013, math, Factors of 1013, curriculum, school, college, exams, university, Prime factorization of 1013, STEM, science, technology, engineering, physics, economics, calculator, one thousand and thirteen.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.