Acts 2:21 - "And it shall come to pass, [that] whosoever shall call on the name of the Lord shall be saved".
Acts 2:38 - "Then Peter said unto them, Repent, and be baptized every one of you in the name of Jesus Christ for the remission of sins, and ye shall receive the gift of the Holy Ghost."
In verse 21, Peter says that whoever calls on the name of the Lord shall be saved. In verse 38, after being asked what they should do, Peter tells the crowd to repent and be baptized for the remission of sins. It is obvious he is telling them this is how they are to be saved. Therefore, repenting and being baptized for remission of sins and calling on the name of the Lord are equal.
Acts 22:16 - "And now why tarriest thou? arise, and be baptized, and wash away thy sins, calling on the name of the Lord."
In this verse, Ananias equates being baptized, to wash away sins, with calling on the name of the Lord.
Here we have 2 examples of calling on the name of the Lord being used as a parallel to being baptized for the remission of sins.
That Gospel changed after the offer of the Kingdom of God was removed from the Jews and for a time, the Kingdom of heaven, put on hold ( Acts 7,Rom.9-11)
The Gospel of Grace is found starting in Acts 8 and now the issue is the death, burial, Resurrection of Jesus Christ, the Son of God, who died for our sins.
Acts 2 is speaking of Christ as the Son of David, and not dying for anyone's sins.
Acts 22:16 Ananias is not aware of the change of Dispensations and gives Paul the Kingdom message.
Note in Acts 19 where those baptized with this old message need to be baptized in the name of Christ.
Apollos was not even aware of it (acts 18)
Now in Rom 10 we have the NT gospel, Lord Jesus being raised from the dead (Lord standing for His Deity).
I would not use Rom.10:13 by itself but with 1Cor.15:3-5 among others.