131711341075200 has 540 divisors, whose sum is σ = 515643747391080. Its totient is φ = 33056961822720.

The previous prime is 131711341075169. The next prime is 131711341075201. The reversal of 131711341075200 is 2570143117131.

131711341075200 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 113 + 4 + 10 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131711341075201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1340071 + ... + 16285529.

It is an arithmetic number, because the mean of its divisors is an integer number (954895828502).

Almost surely, 2^{131711341075200} is an apocalyptic number.

131711341075200 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 131711341075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257821873695540).

131711341075200 is an abundant number, since it is smaller than the sum of its proper divisors (383932406315880).

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

131711341075200 is a wasteful number, since it uses less digits than its factorization.

131711341075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14945514 (or 14945486 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 131711341075200 in words is "one hundred thirty-one trillion, seven hundred eleven billion, three hundred forty-one million, seventy-five thousand, two hundred".