We present the analysis of deep optical imaging of the galaxy cluster Abell 133 with the IMACS instrument on Magellan. Our multi-band photometry enables stellar mass measurements in the cluster member galaxies down to a mass limit of M = 3×10 8 M (≈ 0.1 of the Large Magellanic Cloud stellar mass). We observe a clear difference in the spatial distribution of large and dwarf galaxies within the cluster. Modeling these galaxies populations separately, we can confidently track the distribution of stellar mass locked in the galaxies to the cluster's virial radius. The extended envelope of the cluster's brightest galaxy can be tracked to ∼ 200 kpc. The central galaxy contributes ∼ 1/3 of the the total cluster stellar mass within the radius r 500c .2 Starikova et al.accessible by current X-ray observations, ∼ 0.5 of the virial radius, are well below the values of the universal baryon fraction derived from Cosmic Microwave Background fluctuations (Vikhlinin et al. 2006;Lin et al. 2012;Eckert et al. 2016), and this is yet to be fully explained by cosmological cluster simulations (e.g., Barnes et al. 2017). Furthermore, the distribution of stellar material and hot gas within clusters should bear the imprint of key processes shaping galaxy formation. Indeed, observed stellar mass fractions and stellar mass function of cluster galaxies have become valuable benchmarks for testing models of feedback in cosmological simulations of cluster formation (e.g., Martizzi et al. 2014Martizzi et al. , 2016Bahé et al. 2017;McCarthy et al. 2017;Cui et al. 2018;Pillepich et al. 2018;Henden et al. 2018). The radial profile of stellar density of the Brightest Cluster Galaxy (BCG), as well as the radial distribution of stellar mass in galaxies are potentially equally powerful constraints on the models (e.g., Martizzi et al. 2014;Bellstedt et al. 2018).Despite recent progress (Gonzalez et al. 2013;Budzynski et al. 2012Budzynski et al. , 2014Kravtsov et al. 2018;Huang et al. 2018), the number of clusters with available accurate measurements of the gas mass, stellar mass in galaxies down to dwarf scales, and stellar material in the outer envelope of the central galaxy remains small. The main goal of this study is to accurately measure the contribution of the stellar populations (individual galaxies and intra-cluster light) to the total baryon budget in the cluster Abell 133.Abell 133 is a massive nearby (z = 0.05695) galaxy cluster with extensive mapping of surrounding distribution of galaxies and filamentary cosmic web structure (Connor et al. 2018(Connor et al. , 2019b, as well as deep X-ray observations by the Chandra X-ray Observatory (Vikhlinin et al. 2006;Vikhlinin 2013; Morandi & Cui 2014, Vikhlinin et al., in preparation). The cluster has a cool core and prominent radio relics indicative of the ongoing merger activity (Randall et al. 2010), although distribution of galaxies does not reveal clear signs of dynamical disturbance (Connor et al. 2018). Hydrostatic equilibrium analysis using X-ray Chandra observations give total mass within t...