132213431314000 has 160 divisors (see below), whose sum is σ = 320710087526400. Its totient is φ = 52717035571200.

The previous prime is 132213431313893. The next prime is 132213431314001. The reversal of 132213431314000 is 413134312231.

It is a self number, because there is not a number n which added to its sum of digits gives 132213431314000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213431314001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3558027421 + ... + 3558064579.

It is an arithmetic number, because the mean of its divisors is an integer number (2004438047040).

Almost surely, 2^{132213431314000} is an apocalyptic number.

132213431314000 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 132213431314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160355043763200).

132213431314000 is an abundant number, since it is smaller than the sum of its proper divisors (188496656212400).

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

132213431314000 is a wasteful number, since it uses less digits than its factorization.

132213431314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42798 (or 42782 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 132213431314000 its reverse (413134312231), we get a palindrome (132626565626231).

The spelling of 132213431314000 in words is "one hundred thirty-two trillion, two hundred thirteen billion, four hundred thirty-one million, three hundred fourteen thousand".