11100103131100 has 72 divisors (see below), whose sum is σ = 24363629690400. Its totient is φ = 4389114470400.

The previous prime is 11100103131079. The next prime is 11100103131101. The reversal of 11100103131100 is 113130100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100103131101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38026705 + ... + 38317495.

It is an arithmetic number, because the mean of its divisors is an integer number (338383745700).

Almost surely, 2^{11100103131100} is an apocalyptic number.

11100103131100 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 11100103131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12181814845200).

11100103131100 is an abundant number, since it is smaller than the sum of its proper divisors (13263526559300).

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

11100103131100 is a wasteful number, since it uses less digits than its factorization.

11100103131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295183 (or 295176 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 11100103131100 its reverse (113130100111), we get a palindrome (11213233231211).

The spelling of 11100103131100 in words is "eleven trillion, one hundred billion, one hundred three million, one hundred thirty-one thousand, one hundred".