131420432000 has 512 divisors, whose sum is σ = 389754892800. Its totient is φ = 43438080000.

The previous prime is 131420431993. The next prime is 131420432023. The reversal of 131420432000 is 234024131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162447596 + ... + 162448404.

It is an arithmetic number, because the mean of its divisors is an integer number (761240025).

Almost surely, 2^131420432000 is an apocalyptic number.

131420432000 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 131420432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194877446400).

131420432000 is an abundant number, since it is smaller than the sum of its proper divisors (258334460800).

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

131420432000 is a wasteful number, since it uses less digits than its factorization.

131420432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 131420432000 its reverse (234024131), we get a palindrome (131654456131).

The spelling of 131420432000 in words is "one hundred thirty-one billion, four hundred twenty million, four hundred thirty-two thousand".