131775499381201 has 27 divisors (see below), whose sum is σ = 144741501010353. Its totient is φ = 119916055590240.

The previous prime is 131775499381187. The next prime is 131775499381259. The reversal of 131775499381201 is 102183994577131.

It is a happy number.

The square root of 131775499381201 is 11479351.

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

It can be written as a sum of positive squares in 4 ways, for example, as 91558086822801 + 40217412558400 = 9568599^2 + 6341720^2 .

It is a de Polignac number, because none of the positive numbers 2^k-131775499381201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131775499381201.

It is not an unprimeable number, because it can be changed into a prime (131775499381261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10595434755 + ... + 10595447191.

Almost surely, 2^{131775499381201} is an apocalyptic number.

131775499381201 is the 11479351-st square number.

131775499381201 is the 5739676-th centered octagonal number.

It is an amenable number.

131775499381201 is a deficient number, since it is larger than the sum of its proper divisors (12966001629152).

131775499381201 is an frugal number, since it uses more digits than its factorization.

131775499381201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25042 (or 12521 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 61.

The spelling of 131775499381201 in words is "one hundred thirty-one trillion, seven hundred seventy-five billion, four hundred ninety-nine million, three hundred eighty-one thousand, two hundred one".