131043434123120 has 160 divisors (see below), whose sum is σ = 331341609529728. Its totient is φ = 47997077520384.

The previous prime is 131043434123113. The next prime is 131043434123159. The reversal of 131043434123120 is 21321434340131.

131043434123120 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731412269 + ... + 731591411.

Almost surely, 2^{131043434123120} is an apocalyptic number.

131043434123120 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 131043434123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165670804764864).

131043434123120 is an abundant number, since it is smaller than the sum of its proper divisors (200298175406608).

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

131043434123120 is a wasteful number, since it uses less digits than its factorization.

131043434123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193747 (or 193741 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 131043434123120 its reverse (21321434340131), we get a palindrome (152364868463251).

The spelling of 131043434123120 in words is "one hundred thirty-one trillion, forty-three billion, four hundred thirty-four million, one hundred twenty-three thousand, one hundred twenty".