Is there anything called anonymous or private bitcoins? Are there different types of bitcoins? Is there anything called private or anonymous bitcoin which can not be traced? 

This question may sound stupid but I am facing this question right now. I have a client who wants to pay in bitcoins. However the kind of bitcoins he is talking about I have never heard of. 

For verification he opened a separate wallet for me from a website called www.fifthelement.io (I never heard of it). Then he transferred a bitcoin and 0.001 in that wallet. Then I transferred that bitcoin back to his wallet for testing. However the confusing part is that I checked these wallets 

[![enter image description here][1]][1]

on blockchain.info, it does show the wallets but doesn't show any transaction history which I assume means no record on the ledger. 

I am posting the image of that wallet. I know very little about bitcoins so help in this matter will be highly appreciated.
Edit: This is almost certainly a scam - I'm looking at the source right now, and they have replaced the actual Bitcoin seeds with IPs, so it is likely a cloned network that tries to trick you into accepting worthless coins. It may also steal your keys, but I don't have evidence for that yet.

Within Bitcoin, there is no form of private transactions (in the form that you will not see it on Blockchain.info).

Moreover, the website you linked to is almost certainly a scam - The footer claims that it is built by the Bitcoin Core Developers, which seems unlikely (archive.org). You can find the actual wallet/node built by them directly on Github -https://github.com/bitcoin/bitcoin.

It seems likely that they have either:


Created an altcoin network, and are distributing their own wallet that connects to their network while branding it as a Bitcoin wallet. This would trick you into believing you have received Bitcoin as payment, while you have actually received worthless coins from a cloned network. This would also explain why blockchain.info is not showing the transaction.
Distributed a malicious wallet client that is able to steal your keys in some way (or provide you with keys that are already compromised), so that if you receive actual Bitcoin, they can take it from you.


If your client wishes to pay in BTC, there are many safe ways to accept it. You simply need to download an actual, reliable bitcoin wallet, such as from the link above, or Electrum, or buy a hardware wallet such as a ledger or trezor.

Then simply provide the client with an address from your trusted wallet - As long as you receive BTC with multiple confirmations, you can be sure that it is valid. When dealing with someone who is already attempting to scam you, make sure you check multiple sources before considering the payment completed, such as checking your transaction on multiple, independent explorers, in addition to what your wallet shows you.