131026106125 has 16 divisors (see below), whose sum is σ = 163648830384. Its totient is φ = 104738673600.

The previous prime is 131026106117. The next prime is 131026106137. The reversal of 131026106125 is 521601620131.

It can be written as a sum of positive squares in 8 ways, for example, as 2343915396 + 128682190729 = 48414^2 + 358723^2 .

It is not a de Polignac number, because 131026106125 - 2³ = 131026106117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131026106093 and 131026106102.

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, 250794 + ... + 570043.

It is an arithmetic number, because the mean of its divisors is an integer number (10228051899).

Almost surely, 2^131026106125 is an apocalyptic number.

It is an amenable number.

131026106125 is a deficient number, since it is larger than the sum of its proper divisors (32622724259).

131026106125 is an equidigital number, since it uses as much as digits as its factorization.

131026106125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822129 (or 822119 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 131026106125 its reverse (521601620131), we get a palindrome (652627726256).

The spelling of 131026106125 in words is "one hundred thirty-one billion, twenty-six million, one hundred six thousand, one hundred twenty-five".