11131241100 has 144 divisors (see below), whose sum is σ = 38076729600. Its totient is φ = 2456536320.

The previous prime is 11131241089. The next prime is 11131241117. The reversal of 11131241100 is 114213111.

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 11131241100.

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, 30490 + ... + 152289.

Almost surely, 2^11131241100 is an apocalyptic number.

11131241100 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 11131241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19038364800).

11131241100 is an abundant number, since it is smaller than the sum of its proper divisors (26945488500).

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

11131241100 is a wasteful number, since it uses less digits than its factorization.

11131241100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182832 (or 182825 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11131241100 its reverse (114213111), we get a palindrome (11245454211).

The spelling of 11131241100 in words is "eleven billion, one hundred thirty-one million, two hundred forty-one thousand, one hundred".