131563657500000 has 1536 divisors, whose sum is σ = 484783758950400. Its totient is φ = 30972000000000.

The previous prime is 131563657499903. The next prime is 131563657500019. The reversal of 131563657500000 is 5756365131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 734992499911 + ... + 734992500089.

It is an arithmetic number, because the mean of its divisors is an integer number (315614426400).

Almost surely, 2^{131563657500000} is an apocalyptic number.

131563657500000 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 131563657500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242391879475200).

131563657500000 is an abundant number, since it is smaller than the sum of its proper divisors (353220101450400).

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

131563657500000 is an equidigital number, since it uses as much as digits as its factorization.

131563657500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 42.

The spelling of 131563657500000 in words is "one hundred thirty-one trillion, five hundred sixty-three billion, six hundred fifty-seven million, five hundred thousand".