Based on the search results, there are several events that happened on October 13 in different years. Here are some of them:

• In 1066, the Battle of Hastings was fought, and King Harold II of England was defeated by the invading army of William, Duke of Normandy.
• In 1792, the cornerstone for the White House was laid.
• In 1307, French King Philip IV had Grand Master Jacques de Molay and Knights Templar arrested and charged with idolatry and corruption.
• In 1943, Italy declared war on former Axis partner Germany.
• In 2010, all 33 miners trapped after a mining accident in Chile were rescued.

In addition, October 13 is also recognized as No Bra Day and Train Your Brain Day.