13131132 has 48 divisors (see below), whose sum is σ = 35223552. Its totient is φ = 3729600.

The previous prime is 13131127. The next prime is 13131133. The reversal of 13131132 is 23113131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18382 + ... + 19082.

It is an arithmetic number, because the mean of its divisors is an integer number (733824).

Almost surely, 2^13131132 is an apocalyptic number.

13131132 is a gapful number since it is divisible by the number (12) 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 13131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776).

13131132 is an abundant number, since it is smaller than the sum of its proper divisors (22092420).

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

13131132 is a wasteful number, since it uses less digits than its factorization.

13131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 936 counting only the distinct ones).

The product of its digits is 54, while the sum is 15.

The square root of 13131132 is about 3623.6903841250. The cubic root of 13131132 is about 235.9214284069.

Adding to 13131132 its reverse (23113131), we get a palindrome (36244263).

The spelling of 13131132 in words is "thirteen million, one hundred thirty-one thousand, one hundred thirty-two".