‘NCORNSP-013GNLC’ is new and distinct variety of ornamental sweetpotato plant. It is a compact, semi-upright mounding, spreading, cultivar producing many short shoots. This ornamental sweetpotato variety is distinguishable from other cultivars by its burgundy red leaves that have 5-7 extremely deep lobes a compact habit and semi-erect mounding plant architecture. Furthermore, ‘NCORNSP-013GNLC’ has a very good vigor and is very well branched. It is less vigorous than Ipomoea batatas ‘Margarita’ and ‘Blackie’ and is well suited for production as a landscape or containerized plant. The production of flowers by ‘NCORNSP-013GNLC’ is moderate under short day conditions.