131842547317441 has 9 divisors (see below), whose sum is σ = 132154116795939. Its totient is φ = 131531710759200.

The previous prime is 131842547317423. The next prime is 131842547317499. The reversal of 131842547317441 is 144713745248131.

The square root of 131842547317441 is 11482271.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8192595277441 + 123649952040000 = 2862271^2 + 11119800^2 .

It is a de Polignac number, because none of the positive numbers 2^k-131842547317441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131842547317141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4948845481 + ... + 4948872121.

Almost surely, 2^{131842547317441} is an apocalyptic number.

131842547317441 is the 11482271-st square number.

131842547317441 is the 5741136-th centered octagonal number.

It is an amenable number.

131842547317441 is a deficient number, since it is larger than the sum of its proper divisors (311569478498).

131842547317441 is an frugal number, since it uses more digits than its factorization.

131842547317441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54144 (or 27072 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 55.

The spelling of 131842547317441 in words is "one hundred thirty-one trillion, eight hundred forty-two billion, five hundred forty-seven million, three hundred seventeen thousand, four hundred forty-one".