# 2113

## 2,113 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 2113 look like?

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

2113 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 2113:

### 2113

See below for interesting mathematical facts about the number 2113 from the Numbermatics database.

### Names of 2113

• Cardinal: 2113 can be written as Two thousand, one hundred thirteen.

### Scientific notation

• Scientific notation: 2.113 × 103

### Factors of 2113

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 2113

### Divisors of 2113

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 2114
• Sum of proper divisors (its aliquot sum) s(n): 1
• 2113 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2112

### Bases of 2113

• Binary: 1000010000012
• Base-36: 1MP

### Squares and roots of 2113

• 2113 squared (21132) is 4464769
• 2113 cubed (21133) is 9434056897
• The square root of 2113 is 45.9673797383
• The cube root of 2113 is 12.8321619591

### Scales and comparisons

How big is 2113?
• 2,113 seconds is equal to 35 minutes, 13 seconds.
• To count from 1 to 2,113 would take you about thirty-five 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 2113 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2113

• 2113 backwards is 3112
• The number of decimal digits it has is: 4
• The sum of 2113's digits is 7
• More coming soon!