13131313332 has 96 divisors (see below), whose sum is σ = 33651313920. Its totient is φ = 3966842880.

The previous prime is 13131313313. The next prime is 13131313333. The reversal of 13131313332 is 23331313131.

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 (13131313333) 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 31 ways as a sum of consecutive naturals, for example, 2345857 + ... + 2351447.

It is an arithmetic number, because the mean of its divisors is an integer number (350534520).

Almost surely, 2^13131313332 is an apocalyptic number.

13131313332 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 13131313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16825656960).

13131313332 is an abundant number, since it is smaller than the sum of its proper divisors (20520000588).

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

13131313332 is a wasteful number, since it uses less digits than its factorization.

13131313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6041 (or 6039 counting only the distinct ones).

The product of its digits is 1458, while the sum is 24.

Adding to 13131313332 its reverse (23331313131), we get a palindrome (36462626463).

The spelling of 13131313332 in words is "thirteen billion, one hundred thirty-one million, three hundred thirteen thousand, three hundred thirty-two".