132031003123200 has 480 divisors, whose sum is σ = 442657250060256. Its totient is φ = 34684623912960.

The previous prime is 132031003123183. The next prime is 132031003123223. The reversal of 132031003123200 is 2321300130231.

132031003123200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 2391101992 + ... + 2391157208.

Almost surely, 2^{132031003123200} is an apocalyptic number.

132031003123200 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 132031003123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221328625030128).

132031003123200 is an abundant number, since it is smaller than the sum of its proper divisors (310626246937056).

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

132031003123200 is an equidigital number, since it uses as much as digits as its factorization.

132031003123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56174 (or 56153 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132031003123200 its reverse (2321300130231), we get a palindrome (134352303253431).

The spelling of 132031003123200 in words is "one hundred thirty-two trillion, thirty-one billion, three million, one hundred twenty-three thousand, two hundred".