132321313120 has 96 divisors (see below), whose sum is σ = 320063480352. Its totient is φ = 51667832832.

The previous prime is 132321313039. The next prime is 132321313123. The reversal of 132321313120 is 21313123231.

It is a junction number, because it is equal to n+sod(n) for n = 132321313091 and 132321313100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132321313123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14808174 + ... + 14817106.

It is an arithmetic number, because the mean of its divisors is an integer number (3333994587).

Almost surely, 2^132321313120 is an apocalyptic number.

132321313120 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 132321313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160031740176).

132321313120 is an abundant number, since it is smaller than the sum of its proper divisors (187742167232).

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

132321313120 is a wasteful number, since it uses less digits than its factorization.

132321313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11144 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 132321313120 its reverse (21313123231), we get a palindrome (153634436351).

The spelling of 132321313120 in words is "one hundred thirty-two billion, three hundred twenty-one million, three hundred thirteen thousand, one hundred twenty".