m// in scalar context returns true or false if it succeeds or fails. In list context without /g it returns the list of $1, $2, ... if you have used () to capture anything. In short you probably want to use: 
use strict;

my $file = 'file013.txt';
my ($sk) = $file =~ m/(\d+)/; # list context to get what () captured

print $sk;

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See perldoc perlop for more info on various combinations of m//, /g and what they return in list and scalar context.

Update: Corrected typo.

In reply to Re: Regex not behaving as expected by Paladin
in thread Regex not behaving as expected by Popcorn Dave

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