313 (number)

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

← 312 313 314 →
List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	three hundred thirteen
Ordinal	313th (three hundred thirteenth)
Factorization	prime
Prime	65th, twin, palindromic
Greek numeral	ΤΙΓ´
Roman numeral	CCCXIII, cccxiii
Binary	1001110012
Ternary	1021213
Senary	12416
Octal	4718
Duodecimal	22112
Hexadecimal	13916

In mathematics

313 is:

• a twin prime with 311
• a centered square number^[1]
• a full reptend prime^[2] (and the smallest number which is a full reptend prime in base 10 but not in base 2 to 9)
• a Pythagorean prime^[3]
• a regular prime^[4]
• a palindromic prime in both decimal and binary.
• a truncatable prime^[5]
• a weakly prime in base 5
• a happy number^[6]
• an Armstrong number - in base 4 ( 3×4² + 1×4¹ + 3×4⁰ = 3³ + 1³ + 3³ )
• an index of a prime Lucas number.^[7]
• 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.^[8]