131142333443040 has 288 divisors, whose sum is σ = 467048365894656. Its totient is φ = 33445954206720.

The previous prime is 131142333442963. The next prime is 131142333443047. The reversal of 131142333443040 is 40344333241131.

131142333443040 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 2 + 3 + 3 + 344 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 131142333442986 and 131142333443004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142333443047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231258727 + ... + 231825113.

It is an arithmetic number, because the mean of its divisors is an integer number (1621695714912).

Almost surely, 2^{131142333443040} is an apocalyptic number.

131142333443040 is a gapful number since it is divisible by the number (10) 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 131142333443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233524182947328).

131142333443040 is an abundant number, since it is smaller than the sum of its proper divisors (335906032451616).

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

131142333443040 is a wasteful number, since it uses less digits than its factorization.

131142333443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573422 (or 573411 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 131142333443040 its reverse (40344333241131), we get a palindrome (171486666684171).

The spelling of 131142333443040 in words is "one hundred thirty-one trillion, one hundred forty-two billion, three hundred thirty-three million, four hundred forty-three thousand, forty".