132013120 has 56 divisors (see below), whose sum is σ = 317671704. Its totient is φ = 52248576.

The previous prime is 132013117. The next prime is 132013157. The reversal of 132013120 is 21310231.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 131423296 = 768^2 + 11464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132013120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28914 + ... + 33166.

It is an arithmetic number, because the mean of its divisors is an integer number (5672709).

Almost surely, 2^132013120 is an apocalyptic number.

132013120 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 132013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158835852).

132013120 is an abundant number, since it is smaller than the sum of its proper divisors (185658584).

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

132013120 is an equidigital number, since it uses as much as digits as its factorization.

132013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 132013120 is about 11489.6962536004. The cubic root of 132013120 is about 509.1812056902.

Adding to 132013120 its reverse (21310231), we get a palindrome (153323351).

The spelling of 132013120 in words is "one hundred thirty-two million, thirteen thousand, one hundred twenty".