132322200213000 has 512 divisors, whose sum is σ = 497538961920000. Its totient is φ = 28602285926400.

The previous prime is 132322200212977. The next prime is 132322200213011. The reversal of 132322200213000 is 312002223231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 224342476 + ... + 224931524.

It is an arithmetic number, because the mean of its divisors is an integer number (971755785000).

Almost surely, 2^{132322200213000} is an apocalyptic number.

132322200213000 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 132322200213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248769480960000).

132322200213000 is an abundant number, since it is smaller than the sum of its proper divisors (365216761707000).

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

132322200213000 is a wasteful number, since it uses less digits than its factorization.

132322200213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589662 (or 589648 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132322200213000 its reverse (312002223231), we get a palindrome (132634202436231).

The spelling of 132322200213000 in words is "one hundred thirty-two trillion, three hundred twenty-two billion, two hundred million, two hundred thirteen thousand".