131112234120888 has 384 divisors, whose sum is σ = 378039941959680. Its totient is φ = 42557804144640.

The previous prime is 131112234120869. The next prime is 131112234120913. The reversal of 131112234120888 is 888021432211131.

131112234120888 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 1 + 22 + 341 + 208 + 88 = 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, 24864824620 + ... + 24864829892.

It is an arithmetic number, because the mean of its divisors is an integer number (984479015520).

Almost surely, 2^{131112234120888} is an apocalyptic number.

131112234120888 is a gapful number since it is divisible by the number (18) 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 131112234120888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189019970979840).

131112234120888 is an abundant number, since it is smaller than the sum of its proper divisors (246927707838792).

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

131112234120888 is a wasteful number, since it uses less digits than its factorization.

131112234120888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7561 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 131112234120888 in words is "one hundred thirty-one trillion, one hundred twelve billion, two hundred thirty-four million, one hundred twenty thousand, eight hundred eighty-eight".