132321003100 has 288 divisors, whose sum is σ = 348682682880. Its totient is φ = 42946176000.

The previous prime is 132321003091. The next prime is 132321003107. The reversal of 132321003100 is 1300123231.

It is a super-3 number, since 3×132321003100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132321003107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53809671 + ... + 53812129.

It is an arithmetic number, because the mean of its divisors is an integer number (1210703760).

Almost surely, 2^132321003100 is an apocalyptic number.

132321003100 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 132321003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174341341440).

132321003100 is an abundant number, since it is smaller than the sum of its proper divisors (216361679780).

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

132321003100 is a wasteful number, since it uses less digits than its factorization.

132321003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 132321003100 its reverse (1300123231), we get a palindrome (133621126331).

The spelling of 132321003100 in words is "one hundred thirty-two billion, three hundred twenty-one million, three thousand, one hundred".