131444034014412 has 288 divisors, whose sum is σ = 393979832064000. Its totient is φ = 36169502054400.

The previous prime is 131444034014357. The next prime is 131444034014459. The reversal of 131444034014412 is 214410430444131.

131444034014412 is a `hidden beast` number, since 1 + 3 + 144 + 40 + 34 + 0 + 1 + 441 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6955069339 + ... + 6955088237.

It is an arithmetic number, because the mean of its divisors is an integer number (1367985528000).

Almost surely, 2^{131444034014412} is an apocalyptic number.

131444034014412 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 131444034014412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196989916032000).

131444034014412 is an abundant number, since it is smaller than the sum of its proper divisors (262535798049588).

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

131444034014412 is a wasteful number, since it uses less digits than its factorization.

131444034014412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27557 (or 27552 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 131444034014412 its reverse (214410430444131), we get a palindrome (345854464458543).

The spelling of 131444034014412 in words is "one hundred thirty-one trillion, four hundred forty-four billion, thirty-four million, fourteen thousand, four hundred twelve".