13135116828 has 96 divisors (see below), whose sum is σ = 32268741120. Its totient is φ = 4150558720.

The previous prime is 13135116821. The next prime is 13135116833. The reversal of 13135116828 is 82861153131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13135116821) 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, 19931563 + ... + 19932221.

It is an arithmetic number, because the mean of its divisors is an integer number (336132720).

Almost surely, 2^13135116828 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 13135116828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16134370560).

13135116828 is an abundant number, since it is smaller than the sum of its proper divisors (19133624292).

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

13135116828 is a wasteful number, since it uses less digits than its factorization.

13135116828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1225 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

Adding to 13135116828 its reverse (82861153131), we get a palindrome (95996269959).

The spelling of 13135116828 in words is "thirteen billion, one hundred thirty-five million, one hundred sixteen thousand, eight hundred twenty-eight".