Disclosed is a distillation apparatus having a various heat exchange methods added to a process of producing dimethyl carbonate using reactive distillation and pressure-swing distillation. According to the disclosure, internal and external heat integration between a high-pressure and a low-pressure distillation column, which constitute pressure-swing distillation columns, is applied to a dimethyl carbonate production process, and a vapor recompression heat pump configured to compress and heat a fluid and transfer the heat to a fluid having a relatively low temperature is applied to achieve additional heat exchange with a reactive distillation column, thereby improving the dimethyl carbonate production process in terms of energy and economic efficiency by reducing energy consumption while reducing investment and operating costs of a reboiler and a condenser, which are required in a conventional process.