11405513130 has 128 divisors (see below), whose sum is σ = 30528700416. Its totient is φ = 2703859200.

The previous prime is 11405513123. The next prime is 11405513191. The reversal of 11405513130 is 3131550411.

11405513130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11405513130.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2973694 + ... + 2977526.

It is an arithmetic number, because the mean of its divisors is an integer number (238505472).

Almost surely, 2^11405513130 is an apocalyptic number.

11405513130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11405513130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15264350208).

11405513130 is an abundant number, since it is smaller than the sum of its proper divisors (19123187286).

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

11405513130 is a wasteful number, since it uses less digits than its factorization.

11405513130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052.

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 11405513130 in words is "eleven billion, four hundred five million, five hundred thirteen thousand, one hundred thirty".