131265707328000 has 1920 divisors, whose sum is σ = 567479199006720. Its totient is φ = 29621857075200.

The previous prime is 131265707327981. The next prime is 131265707328013. The reversal of 131265707328000 is 823707562131.

131265707328000 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 6 + 570 + 73 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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, 8600248369 + ... + 8600263631.

It is an arithmetic number, because the mean of its divisors is an integer number (295562082816).

Almost surely, 2^{131265707328000} is an apocalyptic number.

131265707328000 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 131265707328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283739599503360).

131265707328000 is an abundant number, since it is smaller than the sum of its proper divisors (436213491678720).

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

131265707328000 is an frugal number, since it uses more digits than its factorization.

131265707328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15397 (or 15359 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 131265707328000 in words is "one hundred thirty-one trillion, two hundred sixty-five billion, seven hundred seven million, three hundred twenty-eight thousand".