marktraphagen - 3:02 pm on May 30, 2013 (gmt 0) [edited by: tedster at 6:12 pm (utc) on May 30, 2013]
I have been doing extensive research on and tracking of the effect of Google+ on organic search results since Google+ was first introduced (I got an account on its third day of beta, invite-only existence).
In my opinion +1's (which is what I think you mean when you say a page has "981 Google+", are not the most significant (or even very significant) factor in how Google+ affects organic search. Our studies show no discernible correlation between number of +1's and organic search rankings. Furthermore, last year Google's Matt Cutts remarked in an interview that they had found +1's to be a very weak signal, and therefore they were not being used as a search signal in any significant way.
Where we have discovered the real search authority of Google+ is in two areas: 1) Verified Page-to-site connection, and 2) Google+ Profile and Page PageRank.
1) Having a link from a Google+ page to an official site page with a reciprocal link back from the site to the G+ Page allows Google to integrate information between the two. That means the G+ page helps Google to better discern and evaluate what the site should rank for. Therefore, actual regular content with engagement from others seems to increase the effectiveness of this connection.
2) Google+ personal profiles and Pages have Google PageRank, although it can be hard to see. (One toolbar PR checker that will show the PR for G+ profiles and pages is [prchecker.net...] What this means is that G+ profiles and Pages can build their own Google search authority. They build this authority both by internal G+ links (in the form of engagement from, shares of posts from, and mentions by other high-authority G+ profiles and pages) and by more traditional links from regular web pages. This is another way in which a Google+ profile or Page can reflect search authority back toward a web site.
[edited by: tedster at 6:12 pm (utc) on May 30, 2013]