11013323100 has 144 divisors (see below), whose sum is σ = 34411547520. Its totient is φ = 2703456000.

The previous prime is 11013323089. The next prime is 11013323107. The reversal of 11013323100 is 132331011.

11013323100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11013323100² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11013323100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013323107) 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, 1474375 + ... + 1481825.

It is an arithmetic number, because the mean of its divisors is an integer number (238969080).

Almost surely, 2^11013323100 is an apocalyptic number.

11013323100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11013323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17205773760).

11013323100 is an abundant number, since it is smaller than the sum of its proper divisors (23398224420).

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

11013323100 is a wasteful number, since it uses less digits than its factorization.

11013323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7860 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11013323100 its reverse (132331011), we get a palindrome (11145654111).

The spelling of 11013323100 in words is "eleven billion, thirteen million, three hundred twenty-three thousand, one hundred".