11003113113000 has 128 divisors (see below), whose sum is σ = 34385178672000. Its totient is φ = 2929422835200.

The previous prime is 11003113112977. The next prime is 11003113113007. The reversal of 11003113113000 is 31131130011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11003113113007) 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 31 ways as a sum of consecutive naturals, for example, 1105605 + ... + 4819604.

It is an arithmetic number, because the mean of its divisors is an integer number (268634208375).

Almost surely, 2^{11003113113000} is an apocalyptic number.

11003113113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11003113113000 is an abundant number, since it is smaller than the sum of its proper divisors (23382065559000).

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

11003113113000 is a wasteful number, since it uses less digits than its factorization.

11003113113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925852 (or 5925838 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 11003113113000 its reverse (31131130011), we get a palindrome (11034244243011).

It can be divided in two parts, 1 and 1003113113000, that added together give a palindrome (1003113113001).

The spelling of 11003113113000 in words is "eleven trillion, three billion, one hundred thirteen million, one hundred thirteen thousand".