11313106728 has 128 divisors (see below), whose sum is σ = 35291013120. Its totient is φ = 2936021760.

The previous prime is 11313106709. The next prime is 11313106729. The reversal of 11313106728 is 82760131311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11313106729) 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 31 ways as a sum of consecutive naturals, for example, 3570601 + ... + 3573767.

It is an arithmetic number, because the mean of its divisors is an integer number (275711040).

Almost surely, 2^11313106728 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 11313106728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17645506560).

11313106728 is an abundant number, since it is smaller than the sum of its proper divisors (23977906392).

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

11313106728 is a wasteful number, since it uses less digits than its factorization.

11313106728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 11313106728 in words is "eleven billion, three hundred thirteen million, one hundred six thousand, seven hundred twenty-eight".