131000041231344 has 240 divisors, whose sum is σ = 386267801088000. Its totient is φ = 41330514829824.

The previous prime is 131000041231331. The next prime is 131000041231417. The reversal of 131000041231344 is 443132140000131.

131000041231344 is a `hidden beast` number, since 1 + 310 + 0 + 0 + 0 + 4 + 1 + 2 + 3 + 1 + 344 = 666.

It is a super-2 number, since 2×131000041231344² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18161654682 + ... + 18161661894.

It is an arithmetic number, because the mean of its divisors is an integer number (1609449171200).

Almost surely, 2^{131000041231344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131000041231344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193133900544000).

131000041231344 is an abundant number, since it is smaller than the sum of its proper divisors (255267759856656).

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

131000041231344 is a wasteful number, since it uses less digits than its factorization.

131000041231344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12412 (or 12403 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131000041231344 its reverse (443132140000131), we get a palindrome (574132181231475).

The spelling of 131000041231344 in words is "one hundred thirty-one trillion, forty-one million, two hundred thirty-one thousand, three hundred forty-four".