131288916806112 has 192 divisors, whose sum is σ = 375410546138880. Its totient is φ = 39932401766400.

The previous prime is 131288916806053. The next prime is 131288916806119. The reversal of 131288916806112 is 211608619882131.

It is a happy number.

It is a super-2 number, since 2×131288916806112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131288916806119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436473687 + ... + 436774377.

It is an arithmetic number, because the mean of its divisors is an integer number (1955263261140).

Almost surely, 2^{131288916806112} is an apocalyptic number.

131288916806112 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 131288916806112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187705273069440).

131288916806112 is an abundant number, since it is smaller than the sum of its proper divisors (244121629332768).

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

131288916806112 is a wasteful number, since it uses less digits than its factorization.

131288916806112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304737 (or 304729 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 57.

The spelling of 131288916806112 in words is "one hundred thirty-one trillion, two hundred eighty-eight billion, nine hundred sixteen million, eight hundred six thousand, one hundred twelve".