en 413

413 in various calendars
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	阳水鼠年; (male Water-Rat); 539 or 158 or −614; — to —; 阴水牛年; (female Water-Ox); 540 or 159 or −613

Millennium:	1st millennium
Centuries:	4th century; 5th century ; 6th century;
Decades:	390s; 400s; 410s ; 420s; 430s;
Years:	410; 411; 412; 413 ; 414; 415; 416;

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.

Events

Heraclianus, Roman usurper, 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.
May 8 – Honorius signs an edict providing tax relief for the Italian provinces Tuscia, Campania, Picenum, Samnium, Apulia, Lucania and Calabria, which were plundered by the Visigoths.
The Visigoths, led by King Ataulf, conquer the towns of Toulouse and Bordeaux by force of arms. After a successful siege of Valence, he captures the usurper Jovinus and his brother Sebastianus. In Narbonne they are executed and their heads are sent to Honorius' court at Ravenna.

Kumaragupta I succeeds his father Chandragupta II as emperor of the Gupta Empire (India).
Jangsu becomes ruler of the Korean kingdom of Goguryeo.^[1]

Augustine of Hippo, age 59, begins to write his spiritual book De Civitate Dei (City of God), as a reply to the charge that Christianity was responsible for the decline of the Roman Empire.