131606531616121 has 3 divisors (see below), whose sum is σ = 131606543088111. Its totient is φ = 131606520144132.

The previous prime is 131606531616071. The next prime is 131606531616139. The reversal of 131606531616121 is 121616135606131.

The square root of 131606531616121 is 11471989.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 15439092006121 + 116167439610000 = 3929261^2 + 10778100^2 .

It is not a de Polignac number, because 131606531616121 - 2³⁵ = 131572171877753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131606531616191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5735995 + ... + 17207983.

It is an arithmetic number, because the mean of its divisors is an integer number (43868847696037).

Almost surely, 2^{131606531616121} is an apocalyptic number.

131606531616121 is the 11471989-th square number.

131606531616121 is the 5735995-th centered octagonal number.

It is an amenable number.

131606531616121 is a deficient number, since it is larger than the sum of its proper divisors (11471990).

131606531616121 is an frugal number, since it uses more digits than its factorization.

131606531616121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22943978 (or 11471989 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 131606531616121 in words is "one hundred thirty-one trillion, six hundred six billion, five hundred thirty-one million, six hundred sixteen thousand, one hundred twenty-one".