313 (number)

313 (three hundred [and] thirteen) is the natural number following 312 and preceding 314.

In mathematics

313 is:

• a twin prime with 311
• a centered square number
• a full reptend prime (and the smallest number which is a full reptend prime in base 10 but not in base 2 to 9)
• a Pythagorean prime
• a regular prime
• a palindromic prime in both decimal and binary.
• a truncatable prime
• a weakly prime in base 5
• a happy number
• an Armstrong number - in base 4 ( 3×4² + 1×4¹ + 3×4⁰ = 3³ + 1³ + 3³ )
• an index of a prime Lucas number.
• a palindromic number in base 2 (100111001)

In religion

• The number of times the word pray appears in the King James Bible.
• The number of soldiers that Muhammad had with him in the first battle fought by the Muslims, the Battle of Badr.

References