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2013 in Roman Numerals

2013 in Roman numerals is MMXIII. It breaks down as MM + X + III, which adds up to 2000 + 10 + 3 = 2013.

  • Roman numeral
    MMXIII
  • Lowercase
    mmxiii
  • Breakdown
    MM + X + III
  • In words
    two thousand thirteen
  • Binary
    11111011101
  • Hexadecimal
    7DD

How to write 2013 in Roman numerals

Roman numerals are built place by place, from the largest value to the smallest. For 2013 the places are 2000 (thousands), 10 (tens), 3 (ones).

  1. Write 2000 as MM.
  2. Write 10 as X.
  3. Write 3 as III.

Joined together, MM + X + III gives MMXIII.

2013 digit by digit

PlaceValueNumeralRule used
thousands2000MMthe symbol repeated twice
tens10Xone symbol
ones3IIIthe symbol repeated three times (the limit)

Check MMXIII by reading it back

Reading MMXIII from left to right and adding the pieces: MM = 2000, X = 10, III = 3. Together that is 2000 + 10 + 3 = 2013, so MMXIII and 2013 match.

Mistakes to avoid with MMXIII

  • Never repeat a symbol more than three times in a row. When a fourth would be needed, the subtractive form takes over.
  • Only I, X and C may be placed before a larger symbol to subtract, so MMXIII never contains forms such as VX or LC.
  • Read MMXIII as one number, not letter by letter: add the values left to right, except where a smaller symbol sits before a larger one.

Facts about the number 2013

  • 2013 is an odd number and composite, with prime factors 3 x 11 x 61.
  • In binary 2013 is 11111011101 and in hexadecimal it is 7DD.
  • Written out, 2013 is "two thousand thirteen".
  • The digits of 2013 add up to 6, so it is divisible by 3.
  • As a year, 2013 was a common year with 365 days and belongs to the 21st century.

Where you will see 2013 in Roman numerals

Viewers spot the number 2013 written as MMXIII in the copyright text at the end of films. Studios use Roman numerals for release years because the practice is deeply embedded in film industry standards for credit sequences.

Numbers near 2013

NumberRoman numeral
2011MMXI
2012MMXII
2013MMXIII
2014MMXIV
2015MMXV

FAQ

What is 2013 in Roman numerals?

2013 is written MMXIII in Roman numerals. It is built from MM (2000), X (10), III (3).

How do you write 2013 in lowercase Roman numerals?

Lowercase Roman numerals use the same rules, so 2013 is mmxiii. Lowercase is common for page numbers in a book's preface and for outline levels.

How do I convert any number to Roman numerals?

Split the number into thousands, hundreds, tens and ones, write each part with the symbols I, V, X, L, C, D and M, then join them from largest to smallest. Or paste it into the Roman numeral converter, which also converts back.

More roman numerals