131100344443134 has 192 divisors, whose sum is σ = 330686572170240. Its totient is φ = 37116893399040.

The previous prime is 131100344443099. The next prime is 131100344443171. The reversal of 131100344443134 is 431344443001131.

131100344443134 is a `hidden beast` number, since 1 + 31 + 10 + 0 + 3 + 44 + 443 + 134 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3334763862 + ... + 3334803174.

It is an arithmetic number, because the mean of its divisors is an integer number (1722325896720).

Almost surely, 2^{131100344443134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131100344443134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165343286085120).

131100344443134 is an abundant number, since it is smaller than the sum of its proper divisors (199586227727106).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131100344443134 is a wasteful number, since it uses less digits than its factorization.

131100344443134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51567 (or 51564 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 131100344443134 its reverse (431344443001131), we get a palindrome (562444787444265).

The spelling of 131100344443134 in words is "one hundred thirty-one trillion, one hundred billion, three hundred forty-four million, four hundred forty-three thousand, one hundred thirty-four".