1513
| Years |
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| Millennium |
| 2nd millennium |
| Centuries |
| Decades |
| Years |
| 1513 by topic |
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| Arts, history, and science |
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| Countries |
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| Lists of leaders |
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| Birth and death categories |
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| Establishments and disestablishments categories |
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| Works category |
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| Gregorian calendar | 1513 MDXIII |
| Ab urbe condita | 2266 |
| Armenian calendar | 962 ԹՎ ՋԿԲ |
| Assyrian calendar | 6263 |
| Balinese saka calendar | 1434–1435 |
| Bengali calendar | 920 |
| Berber calendar | 2463 |
| English Regnal year | 4 Hen. 8 – 5 Hen. 8 |
| Buddhist calendar | 2057 |
| Burmese calendar | 875 |
| Byzantine calendar | 7021–7022 |
| Chinese calendar | 壬申年 (Water Monkey) 4209 or 4149 — to — 癸酉年 (Water Rooster) 4210 or 4150 |
| Coptic calendar | 1229–1230 |
| Discordian calendar | 2679 |
| Ethiopian calendar | 1505–1506 |
| Hebrew calendar | 5273–5274 |
| Hindu calendars | |
| - Vikram Samvat | 1569–1570 |
| - Shaka Samvat | 1434–1435 |
| - Kali Yuga | 4613–4614 |
| Holocene calendar | 11513 |
| Igbo calendar | 513–514 |
| Iranian calendar | 891–892 |
| Islamic calendar | 918–919 |
| Japanese calendar | Eishō 10 (永正１０年) |
| Javanese calendar | 1430–1431 |
| Julian calendar | 1513 MDXIII |
| Korean calendar | 3846 |
| Minguo calendar | 399 before ROC 民前399年 |
| Nanakshahi calendar | 45 |
| Thai solar calendar | 2055–2056 |
| Tibetan calendar | ཆུ་ཕོ་སྤྲེ་ལོ་ (male Water-Monkey) 1639 or 1258 or 486 — to — ཆུ་མོ་བྱ་ལོ་ (female Water-Bird) 1640 or 1259 or 487 |
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1513 (MDXIII) was a common year starting on Saturday of the Julian calendar, the 1513th year of the Common Era (CE) and Anno Domini (AD) designations, the 513th year of the 2nd millennium, the 13th year of the 16th century, and the 4th year of the 1510s decade. As of the start of 1513, the Gregorian calendar was 10 days ahead of the Julian calendar, which was the dominant calendar of the time.