132323222031000 has 3072 divisors, whose sum is σ = 599590775347200. Its totient is φ = 23800283136000.

The previous prime is 132323222030971. The next prime is 132323222031047. The reversal of 132323222031000 is 130222323231.

It is a super-2 number, since 2×132323222031000² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 135438302512 + ... + 135438303488.

It is an arithmetic number, because the mean of its divisors is an integer number (195179288850).

Almost surely, 2^{132323222031000} is an apocalyptic number.

132323222031000 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 132323222031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299795387673600).

132323222031000 is an abundant number, since it is smaller than the sum of its proper divisors (467267553316200).

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

132323222031000 is a wasteful number, since it uses less digits than its factorization.

132323222031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 132323222031000 its reverse (130222323231), we get a palindrome (132453444354231).

The spelling of 132323222031000 in words is "one hundred thirty-two trillion, three hundred twenty-three billion, two hundred twenty-two million, thirty-one thousand".