Abstract: A coiled heat exchanger having a plurality of tubes, which are helically coiled around a core tube in one or more concentric layers of tubes and form a bundle in the form of a hollow cylinder, and also having a shell, which delimits an outer space around the tubes, is disclosed. It is formed in such a way that, during operation, heat is transferred between at least two fluid streams, one of which flows through the interior of the tubes and the other of which flows through the outer space. At least one elastic component that does not transfer heat and comprises a metallic material is arranged inside the shell and radially outside the bundle.