131211297361 has 9 divisors (see below), whose sum is σ = 131708339931. Its totient is φ = 130716127584.

The previous prime is 131211297281. The next prime is 131211297377. The reversal of 131211297361 is 163792112131.

The square root of 131211297361 is 362231.

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., 40272863761 + 90938433600 = 200681^2 + 301560^2 .

It is not a de Polignac number, because 131211297361 - 2³¹ = 129063813713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131211297361.

It is not an unprimeable number, because it can be changed into a prime (131211292361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 130040425 + ... + 130041433.

Almost surely, 2^131211297361 is an apocalyptic number.

131211297361 is the 362231-st square number.

131211297361 is the 181116-th centered octagonal number.

It is an amenable number.

131211297361 is a deficient number, since it is larger than the sum of its proper divisors (497042570).

131211297361 is an frugal number, since it uses more digits than its factorization.

131211297361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 1368 counting only the distinct ones).

The product of its digits is 13608, while the sum is 37.

The spelling of 131211297361 in words is "one hundred thirty-one billion, two hundred eleven million, two hundred ninety-seven thousand, three hundred sixty-one".