The advanced operators, as far as SEO is concerned can be divided into 2 categories: Alternate Query Types and Query Modifiers.
Alternate Query Typescache: If you include other words in the query, Google will highlight those words within the cached document. For instance, [cache:www.google.com web] will show the cached content with the word "web" highlighted.
link: The query [link:] will list webpages that have links to the specified webpage. For instance, [link:www.google.com] will list webpages that have links pointing to the Google homepage. Note there can be no space between the "link:" and the web page url.
related: The query [related:] will list web pages that are "similar" to a specified web page. For instance, [related:www.google.com] will list web pages that are similar to the Google homepage. Note there can be no space between the "related:" and the web page url.
info: The query [info:] will present some information that Google has about that web page. For instance, [info:www.google.com] will show information about the Google homepage. Note there can be no space between the "info:" and the web page url.
This functionality is also accessible by typing the web page url directly into a Google search box.
Query Modifierssite: If you include [site:] in your query, Google will restrict the results to those websites in the given domain. For instance, [help site:www.google.com] will find pages about help within www.google.com. [help site:com] will find pages about help within .com urls. Note there can be no space between the "site:" and the domain.
allintitle: If you start a query with [allintitle:], Google will restrict the results to those with all of the query words in the title. For instance, [allintitle: google search] will return only documents that have both "google" and "search" in the title.
intitle: If you include [intitle:] in your query, Google will restrict the results to documents containing that word in the title. For instance, [intitle:google search] will return documents that mention the word "google" in their title, and mention the word "search" anywhere in the document (title or no). Note there can be no space between the "intitle:" and the following word.
Putting [intitle:] in front of every word in your query is equivalent to putting [allintitle:] at the front of your query: [intitle:google intitle:search] is the same as [allintitle: google search].
allinurl: If you start a query with [allinurl:], Google will restrict the results to those with all of the query words in the url. For instance, [allinurl: google search] will return only documents that have both "google" and "search" in the url.
Note that [allinurl:] works on words, not url components. In particular, it ignores punctuation. Thus, [allinurl: foo/bar] will restrict the results to page with the words "foo" and "bar" in the url, but won't require that they be separated by a slash within that url, that they be adjacent, or that they be in that particular word order. There is currently no way to enforce these constraints.
inurl: If you include [inurl:] in your query, Google will restrict the results to documents containing that word in the url. For instance, [inurl:google search] will return documents that mention the word "google" in their url, and mention the word "search" anywhere in the document (url or no). Note there can be no space between the "inurl:" and the following word.
Putting "inurl:" in front of every word in your query is equivalent to putting "allinurl:" at the front of your query: [inurl:google inurl:search] is the same as [allinurl: google search].
Source:
Googles Advanced Operators Page
