132114213330000 has 400 divisors, whose sum is σ = 470858974096896. Its totient is φ = 31641805760000.

The previous prime is 132114213329933. The next prime is 132114213330013. The reversal of 132114213330000 is 33312411231.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 79 ways as a sum of consecutive naturals, for example, 24978277 + ... + 29801723.

Almost surely, 2^{132114213330000} is an apocalyptic number.

132114213330000 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 132114213330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235429487048448).

132114213330000 is an abundant number, since it is smaller than the sum of its proper divisors (338744760766896).

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

132114213330000 is a wasteful number, since it uses less digits than its factorization.

132114213330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823572 (or 4823551 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132114213330000 its reverse (33312411231), we get a palindrome (132147525741231).

The spelling of 132114213330000 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred thirteen million, three hundred thirty thousand".