131587575128010 has 256 divisors, whose sum is σ = 359076706560000. Its totient is φ = 34283518562304.

The previous prime is 131587575127991. The next prime is 131587575128011. The reversal of 131587575128010 is 10821575785131.

131587575128010 is a `hidden beast` number, since 1 + 3 + 1 + 58 + 7 + 575 + 1 + 2 + 8 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (131587575128011) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 961203646 + ... + 961340534.

It is an arithmetic number, because the mean of its divisors is an integer number (1402643385000).

Almost surely, 2^{131587575128010} is an apocalyptic number.

131587575128010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131587575128010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179538353280000).

131587575128010 is an abundant number, since it is smaller than the sum of its proper divisors (227489131431990).

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

131587575128010 is a wasteful number, since it uses less digits than its factorization.

131587575128010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137470 (or 137464 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 54.

The spelling of 131587575128010 in words is "one hundred thirty-one trillion, five hundred eighty-seven billion, five hundred seventy-five million, one hundred twenty-eight thousand, ten".