113

113 is a natural number that follows 112 and precedes 114. In decimal notation it is written simply as 113. In other common numeral systems it corresponds to 0x71 in hexadecimal and 1110001 in binary. In Roman numerals, 113 is written as CXIII.

In mathematics, 113 is a prime number and the 30th prime. It can be expressed as the sum of two squares: 113 = 7^2 + 8^2. It is also a Sophie Germain prime, since 2 × 113 + 1 = 227 is itself prime. These properties place 113 among frequently studied primes in number theory.

In science, element 113 is Nihonium, with the symbol Nh and atomic number 113. It is a synthetic superheavy element produced only in laboratories and has no stable isotopes. Nihonium was named in 2016 to reflect its Japanese origins and is placed in Group 13 of the periodic table. Its synthetic production and short-lived isotopes make experimental study challenging, but it contributes to understanding nuclear stability in the superheavy region.

In computing and encoding, the decimal value 113 corresponds to the lowercase letter q in the ASCII character set. The number also appears in various cultural, historical, and practical contexts as an ordinal or designation, including use in highway numbers, catalog references, and year notation.