131083241807281 has 9 divisors (see below), whose sum is σ = 131173236675819. Its totient is φ = 130993308663336.

The previous prime is 131083241807267. The next prime is 131083241807303. The reversal of 131083241807281 is 182708142380131.

The square root of 131083241807281 is 11449159.

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., 89249304424225 + 41833937383056 = 9447185^2 + 6467916^2 .

It is not a de Polignac number, because 131083241807281 - 2⁵ = 131083241807249 is a prime.

It is a super-2 number, since 2×131083241807281² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131083241807251) 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, 22131221386 + ... + 22131227308.

It is an arithmetic number, because the mean of its divisors is an integer number (14574804075091).

Almost surely, 2^{131083241807281} is an apocalyptic number.

131083241807281 is the 11449159-th square number.

131083241807281 is the 5724580-th centered octagonal number.

It is an amenable number.

131083241807281 is a deficient number, since it is larger than the sum of its proper divisors (89994868538).

131083241807281 is an frugal number, since it uses more digits than its factorization.

131083241807281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15712 (or 7856 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

The spelling of 131083241807281 in words is "one hundred thirty-one trillion, eighty-three billion, two hundred forty-one million, eight hundred seven thousand, two hundred eighty-one".