131142333443000 has 256 divisors, whose sum is σ = 349132325068800. Its totient is φ = 45674012160000.

The previous prime is 131142333442963. The next prime is 131142333443047. The reversal of 131142333443000 is 344333241131.

It is a happy number.

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, 31094621 + ... + 35059379.

It is an arithmetic number, because the mean of its divisors is an integer number (1363798144800).

Almost surely, 2^{131142333443000} is an apocalyptic number.

131142333443000 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 131142333443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174566162534400).

131142333443000 is an abundant number, since it is smaller than the sum of its proper divisors (217989991625800).

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

131142333443000 is a wasteful number, since it uses less digits than its factorization.

131142333443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964919 (or 3964905 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 131142333443000 its reverse (344333241131), we get a palindrome (131486666684131).

The spelling of 131142333443000 in words is "one hundred thirty-one trillion, one hundred forty-two billion, three hundred thirty-three million, four hundred forty-three thousand".