13132011828 has 144 divisors (see below), whose sum is σ = 36661113216. Its totient is φ = 3637370880.

The previous prime is 13132011821. The next prime is 13132011833. The reversal of 13132011828 is 82811023131.

13132011828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13132011795 and 13132011804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132011821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784668 + ... + 801228.

It is an arithmetic number, because the mean of its divisors is an integer number (254591064).

Almost surely, 2^13132011828 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 13132011828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18330556608).

13132011828 is an abundant number, since it is smaller than the sum of its proper divisors (23529101388).

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

13132011828 is a wasteful number, since it uses less digits than its factorization.

13132011828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16634 (or 16619 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

Adding to 13132011828 its reverse (82811023131), we get a palindrome (95943034959).

The spelling of 13132011828 in words is "thirteen billion, one hundred thirty-two million, eleven thousand, eight hundred twenty-eight".