Its depend on which procedure you have done for material blocking.
If you have block for "X-plant matl status" on basic data 1 tab.
Then you can see the blocked material from table MARA, with filtering value 01 or 02 for field MSTAE.
If you have block for "Plant-sp.matl status" on purchasing tab,
Then you can see the blocked material from table MARC, with filtering value 01 or 02 for field MMSTA
And if you used MM06 for deletion flag for material,
Then you can see the blocked material from table MARA, with filtering value X for field LVORM.
The movement type 313 wont block material, it can be used for unrestricted material only. The movement type 313 is for transfer posting material within the plant - from storage loc to storage loc in two steps. 313 will remove from storage and 315 will place in storage.
You can find the details of material movement from MB51 transaction. If the material is removed from storage and not placed in storage, use 315 to place it in storage in MB1B.
The material can be moved to blocked stock using 103, 107, 322, 325, 344, 350 etc. You may insert these movement types in MB51 along with material and other details to get the exact movement.
As of my knowledge, there is no standard transaction to get the list of blocked materials. You may create a query in SQVI transaction or develop an abap report for the same, using the tables MARA, MARC, & MARD as per requirement.
If you use MM06 and put deletion flag for the materials, you can track the same with the following table and fields:
DF at Client Level: MARA-LVORM
DF at Plant Level: MARC-LVORM
DF at Storage Loc Level : MARD-LVORM
DF at Sales Org Level: MVKE-LVORM
If you block the materials using x plant material status or plant specific status, you can use the fields MARA-MSTA or MARC-MMSTA as explained by Dev.