131330112000 has 320 divisors, whose sum is σ = 438363978624. Its totient is φ = 34883174400.

The previous prime is 131330111929. The next prime is 131330112007. The reversal of 131330112000 is 211033131.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (131330112007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54334792 + ... + 54337208.

Almost surely, 2^131330112000 is an apocalyptic number.

131330112000 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 131330112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219181989312).

131330112000 is an abundant number, since it is smaller than the sum of its proper divisors (307033866624).

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

131330112000 is an equidigital number, since it uses as much as digits as its factorization.

131330112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131330112000 its reverse (211033131), we get a palindrome (131541145131).

The spelling of 131330112000 in words is "one hundred thirty-one billion, three hundred thirty million, one hundred twelve thousand".