132013213332000 has 1152 divisors, whose sum is σ = 585065690786304. Its totient is φ = 25321190400000.

The previous prime is 132013213331999. The next prime is 132013213332023. The reversal of 132013213332000 is 233312310231.

132013213332000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131632450 + ... + 132631550.

It is an arithmetic number, because the mean of its divisors is an integer number (507869523252).

Almost surely, 2^{132013213332000} is an apocalyptic number.

132013213332000 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 132013213332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292532845393152).

132013213332000 is an abundant number, since it is smaller than the sum of its proper divisors (453052477454304).

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

132013213332000 is a wasteful number, since it uses less digits than its factorization.

132013213332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999171 (or 999142 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132013213332000 its reverse (233312310231), we get a palindrome (132246525642231).

The spelling of 132013213332000 in words is "one hundred thirty-two trillion, thirteen billion, two hundred thirteen million, three hundred thirty-two thousand".