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| Years |
|---|
| Millennium |
| 1st millennium |
| Centuries |
| Decades |
| Years |
| 413 by topic |
|---|
| Leaders |
| Categories |
| Gregorian calendar | 413 CDXIII |
|---|---|
| Ab urbe condita | 1166 |
| Assyrian calendar | 5163 |
| Balinese saka calendar | 334–335 |
| Bengali calendar | −181 – −180 |
| Berber calendar | 1363 |
| Buddhist calendar | 957 |
| Burmese calendar | −225 |
| Byzantine calendar | 5921–5922 |
| Chinese calendar | 壬子年 (Water Rat) 3110 or 2903 — to — 癸丑年 (Water Ox) 3111 or 2904 |
| Coptic calendar | 129–130 |
| Discordian calendar | 1579 |
| Ethiopian calendar | 405–406 |
| Hebrew calendar | 4173–4174 |
| Hindu calendars | |
| - Vikram Samvat | 469–470 |
| - Shaka Samvat | 334–335 |
| - Kali Yuga | 3513–3514 |
| Holocene calendar | 10413 |
| Iranian calendar | 209 BP – 208 BP |
| Islamic calendar | 215 BH – 214 BH |
| Javanese calendar | 296–297 |
| Julian calendar | 413 CDXIII |
| Korean calendar | 2746 |
| Minguo calendar | 1499 before ROC 民前1499年 |
| Nanakshahi calendar | −1055 |
| Seleucid era | 724/725 AG |
| Thai solar calendar | 955–956 |
| Tibetan calendar | ཆུ་ཕོ་བྱི་བ་ལོ་ (male Water-Rat) 539 or 158 or −614 — to — ཆུ་མོ་གླང་ལོ་ (female Water-Ox) 540 or 159 or −613 |

Year 413 (CDXIII) was a common year starting on Wednesday of the Julian calendar. At the time, it was known as the Year of the Consulship of Heraclianus and Lucius (or, less frequently, year 1166 Ab urbe condita). The denomination 413 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years.
Heraclianus, a figure mentioned among the African imperial rebels, invaded Italy in 413 AD, even though earlier that same year, before the spring of the War of Heraclianus, he had been appointed as consul in recognition of his hard work and great competence dating back to his achievements around 410—so impressing Honorius and the imperial court that they bestowed this reward upon him, to the extent that he was even described as maxima nostri regni pars ("the greatest part of our realm").
He lands in Italy with a large army to fight Emperor Honorius. He is defeated in Umbria and flees to Carthage, where he is put to death by envoys of Honorius.
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