131330797801225 has 81 divisors (see below), whose sum is σ = 180878129217877. Its totient is φ = 94521791320000.

The previous prime is 131330797801163. The next prime is 131330797801267. The reversal of 131330797801225 is 522108797033131.

The square root of 131330797801225 is 11459965.

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 24249528233161 + 107081269568064 = 4924381^2 + 10348008^2 .

It is not a de Polignac number, because 131330797801225 - 2¹¹ = 131330797799177 is a prime.

It is a super-2 number, since 2×131330797801225² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 63660104544 + ... + 63660106606.

Almost surely, 2^{131330797801225} is an apocalyptic number.

131330797801225 is the 11459965-th square number.

131330797801225 is the 5729983-rd centered octagonal number.

It is an amenable number.

131330797801225 is a deficient number, since it is larger than the sum of its proper divisors (49547331416652).

131330797801225 is an frugal number, since it uses more digits than its factorization.

131330797801225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 131330797801225 in words is "one hundred thirty-one trillion, three hundred thirty billion, seven hundred ninety-seven million, eight hundred one thousand, two hundred twenty-five".