131112130032 has 200 divisors, whose sum is σ = 411038421024. Its totient is φ = 40108110336.

The previous prime is 131112130013. The next prime is 131112130033. The reversal of 131112130032 is 230031211131.

131112130032 is a `hidden beast` number, since 1 + 311 + 1 + 21 + 300 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131112129987 and 131112130014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131112130033) 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 in 39 ways as a sum of consecutive naturals, for example, 2892213 + ... + 2937195.

Almost surely, 2^131112130032 is an apocalyptic number.

131112130032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131112130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205519210512).

131112130032 is an abundant number, since it is smaller than the sum of its proper divisors (279926290992).

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

131112130032 is a wasteful number, since it uses less digits than its factorization.

131112130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45189 (or 45174 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131112130032 its reverse (230031211131), we get a palindrome (361143341163).

The spelling of 131112130032 in words is "one hundred thirty-one billion, one hundred twelve million, one hundred thirty thousand, thirty-two".