AIB said it has opened about 350,000 new accounts so far this year, an 82% increase on 2021, as Ulster Bank and KBC Bank Ireland customers open new accounts ahead of their departure from the Irish market.
In a trading update for the third quarter, AIB said that €1.5 billion of Ulster Bank corporate and commercial customer loans had migrated to the bank.
The full transfer of loans and customers are expected by the first half of 2023.
AIB also said the deal to buy €5.7 billion Ulster Bank performing tracker mortgages is currently undergoing the Competition and Consumer Protection Commission's approval process.
In today's statement, the bank said it was trading well with good income trajectory and momentum in the business.
In the nine months to September, its Net Interest Income (NII) increased by 10% from the same time last year, which it said reflected the impact of the higher interest rate environment.
Net interest income is the difference between the income a bank earns from its lending activities and the interest it pays to depositors.
AIB added that NII is now expected to increase by 15% due to rising interest rates, up from an earlier estimate of 10%.
The bank recently announced that it and its subsidiaries would be raising the pricing of most new fixed rate products by 0.5%.
Tracker products have had a 2% premium applied since the summer as the ECB continues to hike rates.
In today's trading update, AIB reported new lending of €9 billion for the first nine months of the year, an increase of 25% on the same time last year.
It also posted strong third quarter new lending of €3.5 billion, an increase of 33% on the same time last year.

AIB said the Irish mortgage market continued to perform strongly and in the nine months to September, its drawdowns were up 60% on the same time last year.
Its new mortgage lending in Ireland was €1.3 billion in the third quarter, up 37% on the previous quarter.
The bank also noted that it has a mortgage market share of 31.2% and said that green lending now represented 24% of total new lending.
The lender said its non-performing exposures (NPEs) were down to €2.4 billion or 3.9% of gross loans from €3.1 billion or 5.4% at the end of last December.
Meanwhile, new personal lending in Retail Banking was up 16% which the bank said reflected a recovery in consumer credit demand.
AIB's chief executive Colin Hunt said that with momentum in the business, it is confident in its delivery for the remainder of the year.
"Notwithstanding the global macro economic uncertainty and volatility, the Irish economy is demonstrating resilience supported by growth, record levels of employment and low leverage," Mr Hunt said.
"Against this backdrop, AIB recorded robust new lending of €9 billion to September and as two banks exit the Irish market, we are welcoming new customers with an 82% increase in the number of accounts opened," he said.
"While I am conscious of the cost of living challenges, the group is well-positioned to support our growing customer base and the wider Irish economy," he added.