# 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!