The number 13331
13331 is a palindromic prime: it reads the same backwards and is prime, the 1583rd prime number and a palindrome: it reads 13331 backwards too. Its only divisors are 1 and 13331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13331: a palindromic prime: it reads the same backwards and is prime; the 1583rd prime number; a palindrome: it reads 13331 backwards too.
- 2
13331 is prime, so its only factors are 1 and 13331. It is the 1583rd prime; the next prime is 13337 and the one before is 13327.
- 3
The divisors add up to 13332; without 13331 itself that is 1, so 13331 is deficient (1 is less than 13331). Euler's totient φ(13331) = 13330 numbers up to 13331 share no factor with it.
- 4
The digits of 13331 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
13331 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13332 |
| Euler totient φ(n) | 13330 |
| Square | 177715561 |
| Cube | 2369126143691 |
| Square root | 115.459950 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3331 × |
13331 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and thirty-one |
| Binary (base 2) | 11010000010011 |
| Octal (base 8) | 32023 |
| Hexadecimal (base 16) | 3413 |
| Base 3 | 200021202 |
| As time | 13331 seconds = 3 h 42 min 11 s |
Is 13331 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13331 a prime number?
Yes. 13331 is divisible only by 1 and itself.
What are the factors of 13331?
1, 13331.
What is 13331 in binary?
11010000010011 (hexadecimal 3413, octal 32023).
What is the square root of 13331?
About 115.4599.
Is 13331 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13331?
13331 is a palindromic prime: it reads the same backwards and is prime; the 1583rd prime number; a palindrome: it reads 13331 backwards too.