131112133344 has 144 divisors (see below), whose sum is σ = 395688252960. Its totient is φ = 41038848000.

The previous prime is 131112133337. The next prime is 131112133349. The reversal of 131112133344 is 443331211131.

131112133344 is a `hidden beast` number, since 1 + 3 + 111 + 213 + 334 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131112133349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2118844 + ... + 2179844.

It is an arithmetic number, because the mean of its divisors is an integer number (2747835090).

Almost surely, 2^131112133344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131112133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197844126480).

131112133344 is an abundant number, since it is smaller than the sum of its proper divisors (264576119616).

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

131112133344 is a wasteful number, since it uses less digits than its factorization.

131112133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61473 (or 61462 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 131112133344 its reverse (443331211131), we get a palindrome (574443344475).

The spelling of 131112133344 in words is "one hundred thirty-one billion, one hundred twelve million, one hundred thirty-three thousand, three hundred forty-four".