BEIJING, Nov 14 (Reuters) - Strong sales growth at Huawei (HWT.UL) helped power an 11% rise in China's total smartphone shipments in October, data from research firm Counterpoint showed on Tuesday, indicating signs of recovery in its lagging mobile market. Huawei was a major contributor to the average year-on-year growth in the first four weeks of October, with its sales surging 83%, a note from the firm showed. According to the Counterpoint data, Xiaomi (1810.HK) also saw a 33% increase in smartphone sales in October. It did not provide specifics around Apple's (AAPL.O) performance in the period. In August, Huawei...