131311332120000 has 280 divisors, whose sum is σ = 435680100439936. Its totient is φ = 34892613504000.

The previous prime is 131311332119993. The next prime is 131311332120041. The reversal of 131311332120000 is 21233113131.

It is a happy number.

131311332120000 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32026677 + ... + 35893323.

Almost surely, 2^{131311332120000} is an apocalyptic number.

131311332120000 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 131311332120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217840050219968).

131311332120000 is an abundant number, since it is smaller than the sum of its proper divisors (304368768319936).

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

131311332120000 is an equidigital number, since it uses as much as digits as its factorization.

131311332120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866965 (or 3866940 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131311332120000 its reverse (21233113131), we get a palindrome (131332565233131).

The spelling of 131311332120000 in words is "one hundred thirty-one trillion, three hundred eleven billion, three hundred thirty-two million, one hundred twenty thousand".