11310111100 has 72 divisors (see below), whose sum is σ = 24872158080. Its totient is φ = 4463585280.

The previous prime is 11310111097. The next prime is 11310111107. The reversal of 11310111100 is 111101311.

It is a super-2 number, since 2×11310111100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310111107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5276629 + ... + 5278771.

It is an arithmetic number, because the mean of its divisors is an integer number (345446640).

Almost surely, 2^11310111100 is an apocalyptic number.

11310111100 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 11310111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12436079040).

11310111100 is an abundant number, since it is smaller than the sum of its proper divisors (13562046980).

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

11310111100 is a wasteful number, since it uses less digits than its factorization.

11310111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 11310111100 its reverse (111101311), we get a palindrome (11421212411).

The spelling of 11310111100 in words is "eleven billion, three hundred ten million, one hundred eleven thousand, one hundred".