You can do this with find alone using the -exec action:
find /location -size 1033c -exec cat {} +
{} will be expanded to the files found and + will enable us to read as many arguments as possible per invocation of cat, as cat can take multiple arguments.
If your find does not have the + extension or you want to read the files one by one:
find /location -size 1033c -exec cat {} \;
If you want to use any options of cat, do:
find /location -size 1033c -exec cat -n {} +
find /location -size 1033c -exec cat -n {} \;