11113331100 has 144 divisors (see below), whose sum is σ = 33173064288. Its totient is φ = 2870415360.

The previous prime is 11113331057. The next prime is 11113331147. The reversal of 11113331100 is 113331111.

It is a super-2 number, since 2×11113331100² (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 zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11113331100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2584152 + ... + 2588448.

It is an arithmetic number, because the mean of its divisors is an integer number (230368502).

Almost surely, 2^11113331100 is an apocalyptic number.

11113331100 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 11113331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16586532144).

11113331100 is an abundant number, since it is smaller than the sum of its proper divisors (22059733188).

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

11113331100 is a wasteful number, since it uses less digits than its factorization.

11113331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 4577 counting only the distinct ones).

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

Adding to 11113331100 its reverse (113331111), we get a palindrome (11226662211).

The spelling of 11113331100 in words is "eleven billion, one hundred thirteen million, three hundred thirty-one thousand, one hundred".