Decryption of RSA

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I am given the following information about an RSA-encryption: $e=31671865305320609$ (public key) and $n=10e+3$. Then I am given the ciphertext $c$ which I omit here due to his length. The task is to decrypt $c$. But how to compute the secret key $d$? A factorisation of $n$ seems to be inappropriate to me. Does someone have an idea?