132202213000 has 512 divisors, whose sum is σ = 382112640000. Its totient is φ = 42147840000.

The previous prime is 132202212991. The next prime is 132202213037. The reversal of 132202213000 is 312202231.

132202213000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 294436776 + ... + 294437224.

It is an arithmetic number, because the mean of its divisors is an integer number (746313750).

Almost surely, 2^132202213000 is an apocalyptic number.

132202213000 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 132202213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191056320000).

132202213000 is an abundant number, since it is smaller than the sum of its proper divisors (249910427000).

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

132202213000 is a wasteful number, since it uses less digits than its factorization.

132202213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132202213000 its reverse (312202231), we get a palindrome (132514415231).

The spelling of 132202213000 in words is "one hundred thirty-two billion, two hundred two million, two hundred thirteen thousand".