131285311541280 has 1152 divisors, whose sum is σ = 503210532464640. Its totient is φ = 30946406400000.

The previous prime is 131285311541269. The next prime is 131285311541291. The reversal of 131285311541280 is 82145113582131.

131285311541280 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 8 + 5 + 311 + 54 + 1 + 280 = 666.

131285311541280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131285311541269) and next prime (131285311541291).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100911076630 + ... + 100911077930.

It is an arithmetic number, because the mean of its divisors is an integer number (436814698320).

Almost surely, 2^{131285311541280} is an apocalyptic number.

131285311541280 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 131285311541280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251605266232320).

131285311541280 is an abundant number, since it is smaller than the sum of its proper divisors (371925220923360).

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

131285311541280 is a wasteful number, since it uses less digits than its factorization.

131285311541280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 131285311541280 in words is "one hundred thirty-one trillion, two hundred eighty-five billion, three hundred eleven million, five hundred forty-one thousand, two hundred eighty".