131200122161 has 2 divisors, whose sum is σ = 131200122162. Its totient is φ = 131200122160.

The previous prime is 131200122083. The next prime is 131200122187. The reversal of 131200122161 is 161221002131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90024001600 + 41176120561 = 300040^2 + 202919^2 .

It is a cyclic number.

It is not a de Polignac number, because 131200122161 - 2¹⁰ = 131200121137 is a prime.

It is a super-2 number, since 2×131200122161² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131200122061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65600061080 + 65600061081.

It is an arithmetic number, because the mean of its divisors is an integer number (65600061081).

Almost surely, 2^131200122161 is an apocalyptic number.

It is an amenable number.

131200122161 is a deficient number, since it is larger than the sum of its proper divisors (1).

131200122161 is an equidigital number, since it uses as much as digits as its factorization.

131200122161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 131200122161 its reverse (161221002131), we get a palindrome (292421124292).

The spelling of 131200122161 in words is "one hundred thirty-one billion, two hundred million, one hundred twenty-two thousand, one hundred sixty-one".