CN VII (facial)
The cranial nerves that regulate salivation are CN VII (facial) and CN IX (Glossopharyngeal).
The cranial nerves that transmit the special sense of taste are CN VII (facial, to the anterior 2/3rd of the tongue) and CN X (vagus, to the posterior 1/3rd of the tongue).
Of these nerves, only CN VII (facial) transmits both taste and salivation control.
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VII Facial Motor fibers transmitimpulses to muscles of facial expression, tear glands and salivary glands
CN VII (facial) and CN IX (glossopharyngeal) both regulate salivary secretion.
[to the previous answer] I'm sorry. There is no officially recognized 13th cranial nerve.