131212042041312 has 144 divisors (see below), whose sum is σ = 373787076433680. Its totient is φ = 43660841895936.

The previous prime is 131212042041293. The next prime is 131212042041359. The reversal of 131212042041312 is 213140240212131.

131212042041312 is a `hidden beast` number, since 1 + 3 + 1 + 21 + 204 + 20 + 413 + 1 + 2 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 1676599239 + ... + 1676677497.

It is an arithmetic number, because the mean of its divisors is an integer number (2595743586345).

Almost surely, 2^{131212042041312} is an apocalyptic number.

131212042041312 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 131212042041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186893538216840).

131212042041312 is an abundant number, since it is smaller than the sum of its proper divisors (242575034392368).

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

131212042041312 is a wasteful number, since it uses less digits than its factorization.

131212042041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88385 (or 88374 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131212042041312 its reverse (213140240212131), we get a palindrome (344352282253443).

The spelling of 131212042041312 in words is "one hundred thirty-one trillion, two hundred twelve billion, forty-two million, forty-one thousand, three hundred twelve".