Hot answers tagged ext3
This gives you an overview of maximum file size https://access.redhat.com/solutions/1532 . You may want to think about upgrading ext3 to ext4 https://docs.fedoraproject.org/en-US/Fedora/14/html/Storage_Administration_Guide/ext4converting.html . So 13 TB should go fine if your kernel is not too old, e.g. you are running SLES 11, SP4.
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