National Pension Act Article 18-1

The insurance benefits under this Act, except applications for old age pension payment, shall be issued monthly starting from the month of meeting the qualifications to the month when the insured person dies. Other pension payments shall be issued monthly, starting from the month of the application approved to the month of pension termination or death of the insured person.If the surviving family pension payment does not apply during the month it becomes eligible, the insurer shall retroactively provide payment for up to five years prior to the application date, in accordance with the law. However, this does not apply to portions already claimed by other beneficiaries.
中文原文 國民年金法第18-1條
依本法發給之各項給付為年金者,除老年年金給付自符合條件之當月起按月發給至死亡當月為止外,其他年金給付自提出申請且符合條件之當月起按月發給至應停止發給或死亡之當月止。
遺屬年金給付之受益人未於符合請領條件之當月提出申請者,其提出請領之日起前五年得領取之給付,由保險人依法追溯補給之。
但已經其他受益人請領之部分,不適用之。

English translation for reference only; the Chinese text prevails. Not legal advice.