Over the past few decades, many topological phenomena have been theoretically predicted in both real (e.g. skyrmions) and reciprocal space (e.g. topological insulators). In this work, we look to discover systems that host both real-space and reciprocal-space nontrivial topologies - so-called doubly topological materials. We begin with our previous finding of metastable topological phases such as a hedgehog-anti-hedgehog pairs and skyrmion tubes in antiperovskite metallic ferrimagnet Mn₄N by first-principles calculations and Monte-Carlo Simulations 1. Such topological states were found to be stabilized by a frustration in the (long-range) magnetic exchange interactions due to its complex magnetic structure featuring three different Mn ions. Here, we show that Mn₄N has also topologically protected properties in the k-space by studying its Berry curvature and predicting its Anomalous Hall Conductivity and Anomalous Nernst Effect. Our findings show that Mn₄N is a Weyl semimetal with topological characteristics in both real and reciprocal spaces. Such interplay between magnetism and topology in both real and reciprocal spaces could open up a new door for exotic linear response effects between them.