131206208000 has 320 divisors, whose sum is σ = 386841312000. Its totient is φ = 43429478400.

The previous prime is 131206207987. The next prime is 131206208039. The reversal of 131206208000 is 802602131.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 12986951 + ... + 12997049.

It is an arithmetic number, because the mean of its divisors is an integer number (1208879100).

Almost surely, 2^131206208000 is an apocalyptic number.

131206208000 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 131206208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193420656000).

131206208000 is an abundant number, since it is smaller than the sum of its proper divisors (255635104000).

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

131206208000 is an equidigital number, since it uses as much as digits as its factorization.

131206208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168 (or 10142 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 131206208000 in words is "one hundred thirty-one billion, two hundred six million, two hundred eight thousand".