131531152140000 has 360 divisors, whose sum is σ = 467451512439912. Its totient is φ = 35071297920000.

The previous prime is 131531152139999. The next prime is 131531152140013. The reversal of 131531152140000 is 41251135131.

131531152140000 is a `hidden beast` number, since 131 + 5 + 3 + 1 + 1 + 521 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2010747294 + ... + 2010812706.

Almost surely, 2^{131531152140000} is an apocalyptic number.

131531152140000 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 131531152140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233725756219956).

131531152140000 is an abundant number, since it is smaller than the sum of its proper divisors (335920360299912).

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

131531152140000 is a wasteful number, since it uses less digits than its factorization.

131531152140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76620 (or 76594 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 131531152140000 in words is "one hundred thirty-one trillion, five hundred thirty-one billion, one hundred fifty-two million, one hundred forty thousand".