131142043441000 has 512 divisors, whose sum is σ = 328135287168000. Its totient is φ = 48978800640000.

The previous prime is 131142043440929. The next prime is 131142043441021. The reversal of 131142043441000 is 144340241131.

It is a super-2 number, since 2×131142043441000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131142043441000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26487988525 + ... + 26487993475.

It is an arithmetic number, because the mean of its divisors is an integer number (640889232750).

Almost surely, 2^{131142043441000} is an apocalyptic number.

131142043441000 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 131142043441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164067643584000).

131142043441000 is an abundant number, since it is smaller than the sum of its proper divisors (196993243727000).

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

131142043441000 is a wasteful number, since it uses less digits than its factorization.

131142043441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131142043441000 its reverse (144340241131), we get a palindrome (131286383682131).

The spelling of 131142043441000 in words is "one hundred thirty-one trillion, one hundred forty-two billion, forty-three million, four hundred forty-one thousand".