Update:
In my content.php file i did find this
<div class="entry-content">
<?php
/* translators: %s: Name of current post */
the_content( sprintf(
__( 'Continue reading %s <span class="meta-nav">→</span>', 'twentythirteen' ),
the_title( '<span class="screen-reader-text">', '</span>', false )
) );
wp_link_pages( array( 'before' => '<div class="page-links"><span class="page-links-title">' . __( 'Pages:', 'twentythirteen' ) . '</span>', 'after' => '</div>', 'link_before' => '<span>', 'link_after' => '</span>' ) );
?>
</div><!-- .entry-content -->
I tried changing the_content to the_excerpt and it did show only the excerpt. But when I clicked read more, it went to a page with still only an excerpt of the post and not the full post.