# 1331

## 1,331 is an odd composite number. It is composed of a single prime number multiplied by itself two times.

What does the number 1331 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 4 divisors.

1331 is an odd composite number. It is composed of one distinct prime number multiplied by itself two times. It has a total of four divisors.

## Prime factorization of 1331:

### 113

(11 × 11 × 11)

See below for interesting mathematical facts about the number 1331 from the Numbermatics database.

### Names of 1331

• Cardinal: 1331 can be written as One thousand, three hundred thirty-one.

### Scientific notation

• Scientific notation: 1.331 × 103

### Factors of 1331

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 11

### Divisors of 1331

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 1464
• Sum of proper divisors (its aliquot sum) s(n): 133
• 1331 is a deficient number, because the sum of its proper divisors (133) is less than itself. Its deficiency is 1198

### Bases of 1331

• Binary: 101001100112
• Base-36: 10Z

### Squares and roots of 1331

• 1331 squared (13312) is 1771561
• 1331 cubed (13313) is 2357947691
• The square root of 1331 is 36.4828726939
• 1331 is a perfect cube number. Its cube root is 11

### Scales and comparisons

How big is 1331?
• 1,331 seconds is equal to 22 minutes, 11 seconds.
• To count from 1 to 1,331 would take you about twenty-two 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 1331 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1331

• 1331 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 4
• The sum of 1331's digits is 8
• More coming soon!