131200122125 has 16 divisors (see below), whose sum is σ = 164932940016. Its totient is φ = 104193952000.

The previous prime is 131200122083. The next prime is 131200122161. The reversal of 131200122125 is 521221002131.

It can be written as a sum of positive squares in 8 ways, for example, as 58747094884 + 72453027241 = 242378^2 + 269171^2 .

It is not a de Polignac number, because 131200122125 - 2⁶ = 131200122061 is a prime.

It is a super-2 number, since 2×131200122125² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131200122097 and 131200122106.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 3813536 + ... + 3847785.

It is an arithmetic number, because the mean of its divisors is an integer number (10308308751).

Almost surely, 2^131200122125 is an apocalyptic number.

It is an amenable number.

131200122125 is a deficient number, since it is larger than the sum of its proper divisors (33732817891).

131200122125 is an equidigital number, since it uses as much as digits as its factorization.

131200122125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661473 (or 7661463 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 131200122125 its reverse (521221002131), we get a palindrome (652421124256).

The spelling of 131200122125 in words is "one hundred thirty-one billion, two hundred million, one hundred twenty-two thousand, one hundred twenty-five".