131404114034000 has 160 divisors (see below), whose sum is σ = 328722398634240. Its totient is φ = 50744409408000.

The previous prime is 131404114033967. The next prime is 131404114034023. The reversal of 131404114034000 is 430411404131.

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 31 ways as a sum of consecutive naturals, for example, 651993245 + ... + 652194755.

It is an arithmetic number, because the mean of its divisors is an integer number (2054514991464).

Almost surely, 2^{131404114034000} is an apocalyptic number.

131404114034000 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 131404114034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164361199317120).

131404114034000 is an abundant number, since it is smaller than the sum of its proper divisors (197318284600240).

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

131404114034000 is a wasteful number, since it uses less digits than its factorization.

131404114034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212806 (or 212790 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131404114034000 its reverse (430411404131), we get a palindrome (131834525438131).

The spelling of 131404114034000 in words is "one hundred thirty-one trillion, four hundred four billion, one hundred fourteen million, thirty-four thousand".