The number 13131
13131 is a palindrome: it reads 13131 backwards too. Its prime factorisation is × 1459. Divisors (6): 1, 3, 9, 1459, 4377, 13131.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13131: a palindrome: it reads 13131 backwards too; a Harshad number: divisible by its digit sum 9.
- 2
13131 is composite. Its prime factorisation is
- 3
The divisors add up to 18980; without 13131 itself that is 5849, so 13131 is deficient (5849 is less than 13131). Euler's totient φ(13131) = 8748 numbers up to 13131 share no factor with it.
- 4
The digits of 13131 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13131 = 3^{2} \times 1459 \]13131 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 18980 |
| Euler totient φ(n) | 8748 |
| Square | 172423161 |
| Cube | 2264088527091 |
| Square root | 114.590576 (= 3√1459) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3131 × |
13131 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and thirty-one |
| Binary (base 2) | 11001101001011 |
| Octal (base 8) | 31513 |
| Hexadecimal (base 16) | 334B |
| Base 3 | 200000100 |
| As time | 13131 seconds = 3 h 38 min 51 s |
Is 13131 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 | Yes (13131 ÷ 3 = 4377) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (13131 ÷ 9 = 1459) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13131 a prime number?
No. 13131 = × 1459, so it is divisible by 3.
What are the factors of 13131?
1, 3, 9, 1459, 4377, 13131.
What is 13131 in binary?
11001101001011 (hexadecimal 334B, octal 31513).
What is the square root of 13131?
About 114.5906, exactly 3√1459.
Is 13131 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 13131?
13131 is a palindrome: it reads 13131 backwards too; a Harshad number: divisible by its digit sum 9.