This stotra is from the Skanda Purana where it is being documented as being taught by Sage Sanath Kumara to a set of 12 sages. Here, it also states that Goddess Lakshmi states that even if this stotra is chanted without belief, she would stay for ever in their clan.
Another Maha Lakshmi Sahasranamam occurs in Brahma Purana in the chapter of description of Kashmir in the chapter on Hiranya Garbha Hrudaya.
One thousand thirty three names are mentioned in the source of this translation, though in the text of the sahasra nama it is mentioned that the names are 1,008 names. Some obvious replications have been merged. Another peculiarity of this publication is that a few prayers to Goddess Lakshmi have been added in the middle of the sahasranamam and have also been included in the Namavali.