131782537101312 has 960 divisors, whose sum is σ = 433765037260800. Its totient is φ = 39329086832640.

The previous prime is 131782537101253. The next prime is 131782537101343. The reversal of 131782537101312 is 213101735287131.

131782537101312 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 8 + 2 + 537 + 101 + 3 + 1 + 2 = 666.

131782537101312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33036482614 + ... + 33036486602.

It is an arithmetic number, because the mean of its divisors is an integer number (451838580480).

Almost surely, 2^{131782537101312} is an apocalyptic number.

131782537101312 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 131782537101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216882518630400).

131782537101312 is an abundant number, since it is smaller than the sum of its proper divisors (301982500159488).

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

131782537101312 is a wasteful number, since it uses less digits than its factorization.

131782537101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 131782537101312 in words is "one hundred thirty-one trillion, seven hundred eighty-two billion, five hundred thirty-seven million, one hundred one thousand, three hundred twelve".