131011345004000 has 192 divisors, whose sum is σ = 322667293096512. Its totient is φ = 52278847488000.

The previous prime is 131011345003967. The next prime is 131011345004003. The reversal of 131011345004000 is 400543110131.

It is a happy number.

131011345004000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011345004003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10537381784 + ... + 10537394216.

It is an arithmetic number, because the mean of its divisors is an integer number (1680558818211).

Almost surely, 2^{131011345004000} is an apocalyptic number.

131011345004000 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 131011345004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161333646548256).

131011345004000 is an abundant number, since it is smaller than the sum of its proper divisors (191655948092512).

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

131011345004000 is a wasteful number, since it uses less digits than its factorization.

131011345004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18566 (or 18548 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 131011345004000 its reverse (400543110131), we get a palindrome (131411888114131).

The spelling of 131011345004000 in words is "one hundred thirty-one trillion, eleven billion, three hundred forty-five million, four thousand".