We don't really know without reading the story. However, in a group - based short story, there are often characters with distinct personalities. There might be a rational thinker among the twelve men who tries to analyze the situation when the thirteenth man arrives. There could also be an emotional character who reacts strongly to the new addition. And of course, the thirteenth man, who might have his own backstory, motives, and personality traits that make him either a likable or controversial figure in the story.
Typically in a story like this, there could be a protagonist among the thirteen men. It could be the thirteenth man himself, who is facing some sort of struggle, whether it's against the group of twelve or some external force. There might also be an antagonist, which could be one of the twelve if they oppose the thirteenth man's presence. And then there could be other supporting characters among the twelve, like a friendlier one who tries to bridge the gap between the thirteenth man and the rest of the group.