2013132032 has 54 divisors (see below), whose sum is σ = 4114992042. Its totient is φ = 982926336.

The previous prime is 2013131999. The next prime is 2013132047. The reversal of 2013132032 is 2302313102.

It can be written as a sum of positive squares in only one way, i.e., 1329623296 + 683508736 = 36464^2 + 26144^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2013132032.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 471218 + ... + 475470.

Almost surely, 2^2013132032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057496021).

2013132032 is an abundant number, since it is smaller than the sum of its proper divisors (2101860010).

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

2013132032 is an frugal number, since it uses more digits than its factorization.

2013132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2013132032 is about 44867.9399125924. The cubic root of 2013132032 is about 1262.6725903578.

Adding to 2013132032 its reverse (2302313102), we get a palindrome (4315445134).

The spelling of 2013132032 in words is "two billion, thirteen million, one hundred thirty-two thousand, thirty-two".