A couple of high-resolution images from a recent exercise.
131 is assigned to the East Sea Fleet, based in Zhoushan.156 Zibo is first "long" 052D, or 052D v2.0. 161 Hohhot is first 052D v1.5.
156 pennant means getting assigned with the East Sea Fleet 6th Destroyer squadron, along with 150, 151, 152, 153, 154, 155. Probably PLAN's most active if not most experienced destroyer division in terms of blue water deployment, like Gulf of Aden escort missions, Liaoning escort, and West Pacific exercises. Unit also has a bunch of Type 054A.
161 pennant means getting assigned with the South Sea Fleet 2nd Destroyer squadron, along with 167 Shenzhen, 168 Guangzhou and 169 Wuhan. This unit escorts amphibious units of the South Sea Fleet, namely Type 071 ships. However, 168 and 169 are currently disabled and in the refit stage, leaving the unit with only two destroyers and mostly Type 054A frigates.
Going back to the picture with 101 Nanchang, which is taken on board a 052D destroyer. Most likely this destroyer is 131 Taiyuan, which is assigned to the same base in Qingdao. This shot should have been taken some time before 131 Taiyuan left with the 35th Escort Task Force. The only other 052D in the North Seas Fleet are 120 Chengdu and 121 Qiqihar, assigned with the 10th, but both these ships are v1.5 of the 052D and have Type 1130 for their front CIWS.
Yes, same destroyer squadron as 136, 137, 138 and 139, all Project 956 Sovremenny.131 is assigned to the East Sea Fleet, based in Zhoushan.