113 (number)
title: "113 (number)" type: doc version: 1 created: 2026-02-28 author: "Wikipedia contributors" status: active scope: public tags: ["integers"] topic_path: "general/integers" source: "https://en.wikipedia.org/wiki/113_(number)" license: "CC BY-SA 4.0" wikipedia_page_id: 0 wikipedia_revision_id: 0
::data[format=table title="Infobox number"]
| Field | Value |
|---|---|
| number | 113 |
| factorization | prime |
| prime | 30th |
| divisor | 1, 113 |
| :: |
| number = 113 | factorization = prime | prime = 30th | divisor = 1, 113 113 (one hundred [and] thirteen) is the natural number following 112 and preceding 114.
Mathematics
- 113 is the 30th prime number (following 109 and preceding 127), so it can only be divided by one and itself. 113 is a Sophie Germain prime, an emirp, an isolated prime, a Chen prime and a Proth prime as it is a prime number of the form 7\times 2^{4}+1. 113 is also an Eisenstein prime with no imaginary part and real part of the form 3n - 1. In decimal, this prime is a primeval number and a permutable prime with 131 and 311.
- 113 is a highly cototient number and a centered square number.
- 113 is the denominator of 355/113, an accurate approximation to .
Other uses
- 113 is also the atomic number of nihonium.
- A113 is a Pixar recurring inside joke or Easter Egg, e.g.: (WALL-E) = (W-A113).
- 113 is the first full-sized Bluebird bus at Essex North Shore Agricultural and Technical High School
References
- Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134
References
- "Sloane's A005384 : Sophie Germain primes". OEIS Foundation.
- "Sloane's A109611 : Chen primes". OEIS Foundation.
- "Sloane's A072857 : Primeval numbers". OEIS Foundation.
- "Sloane's A100827 : Highly cototient numbers". OEIS Foundation.
- "Sloane's A001844 : Centered square numbers". OEIS Foundation.
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