131130432000 has 480 divisors, whose sum is σ = 474711741504. Its totient is φ = 34790400000.

The previous prime is 131130431987. The next prime is 131130432023. The reversal of 131130432000 is 234031131.

131130432000 is a `hidden beast` number, since 1 + 311 + 30 + 4 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 144575547 + ... + 144576453.

Almost surely, 2^131130432000 is an apocalyptic number.

131130432000 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 131130432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237355870752).

131130432000 is an abundant number, since it is smaller than the sum of its proper divisors (343581309504).

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

131130432000 is an equidigital number, since it uses as much as digits as its factorization.

131130432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131130432000 its reverse (234031131), we get a palindrome (131364463131).

The spelling of 131130432000 in words is "one hundred thirty-one billion, one hundred thirty million, four hundred thirty-two thousand".