2,013 in Roman numerals
MMXIII
The number 2,013 is written MMXIII in Roman numerals. As a year it appears in copyright lines and cornerstones written this way.
How MMXIII breaks down
| Symbols | Value |
|---|---|
MM | 2 × 1,000 = 2,000 |
X | 10 |
III | 3 × 1 = 3 |
MMXIII | 2,013 |
Every symbol here is written in descending order and simply added together — no subtractive pairs are involved.
Nearby numbers
| Number | Roman numeral |
|---|---|
| 2,008 | MMVIII |
| 2,009 | MMIX |
| 2,010 | MMX |
| 2,011 | MMXI |
| 2,012 | MMXII |
| 2,013 | MMXIII |
| 2,014 | MMXIV |
| 2,015 | MMXV |
| 2,016 | MMXVI |
| 2,017 | MMXVII |
| 2,018 | MMXVIII |
The seven symbols
I | 1 | C | 100 |
V | 5 | D | 500 |
X | 10 | M | 1,000 |
L | 50 |
2,013 in other notations
| Roman | MMXIII |
| Binary | 11111011101 |
| Hexadecimal | 7DD |
| Octal | 3735 |
| Written out | two thousand and thirteen |
Writing it by hand
Work down through the symbol values, taking as many of each as will fit before moving to the next. For 2,013:
2 × M = 2000 remaining: 13
X = 10 remaining: 3
3 × I = 3 remaining: 0The result reads MMXIII — 6 characters, against 4 digits in Arabic numerals.
Frequently asked questions
What is 2,013 in Roman numerals?
MMXIII
How do you read MMXIII?
Work left to right, adding each symbol — except where a smaller symbol precedes a larger one, in which case it is subtracted. MM is 2,000, X is 10, III is 3, giving 2,013 in total.
How do you write 2,013 in words?
two thousand and thirteen.
Why is there no zero?
Roman numerals have no symbol for zero. The concept reached Europe only with Hindu-Arabic numerals, centuries after the system was in use — which is a large part of why it was eventually replaced for arithmetic.