- substr: documentation ( source)
- sprintf: documentation ( source)
<?php
$Start_Week = '201338';
$Optel_Week = 8;
$start = new DateTime();
$start->setISODate(substr($Start_Week, 0, 4), substr($Start_Week, 4, 2));
echo $start->format('Y-m-d'), PHP_EOL;
$start->add(new DateInterval(sprintf('P%dW', $Optel_Week)));
echo $start->format('Y-m-d'), PHP_EOL;