1113

1113 is the natural number that comes after 1112 and before 1114. In arithmetic, it has prime factorization 3 × 7 × 53 and is therefore squarefree. It has eight positive divisors: 1, 3, 7, 21, 53, 159, 371, and 1113. The sum of its divisors is 1728, so the sum of proper divisors is 615; thus 1113 is not a perfect number. In base 2, 1113 is written as 10001011001, and in Roman numerals it is MCXIII.

As a number, 1113 is an odd composite with no repeated prime factors, and its factorization highlights its divisibility by 3, 7, and 53.

As a year, 1113 CE was a year in the 12th century, a period marked by the High Middle Ages in Europe and contemporaneous developments in other regions. The year falls within a broader historical era characterized by feudal structures, religious reform movements, and various regional political changes.

Overall, 1113 serves as both a specific integer with well-defined factorization and divisor properties, and as a chronological marker within the 12th century. Its familiar representations include the binary form 10001011001 and the Roman numeral MCXIII.

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