11130104141100 has 1728 divisors, whose sum is σ = 45083064499200. Its totient is φ = 2324170506240.

The previous prime is 11130104141087. The next prime is 11130104141111. The reversal of 11130104141100 is 114140103111.

11130104141100 is a `hidden beast` number, since 1 + 1 + 130 + 10 + 414 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 15184316334 + ... + 15184317066.

It is an arithmetic number, because the mean of its divisors is an integer number (26089736400).

Almost surely, 2^{11130104141100} is an apocalyptic number.

11130104141100 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 11130104141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22541532249600).

11130104141100 is an abundant number, since it is smaller than the sum of its proper divisors (33952960358100).

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

11130104141100 is a wasteful number, since it uses less digits than its factorization.

11130104141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11130104141100 its reverse (114140103111), we get a palindrome (11244244244211).

The spelling of 11130104141100 in words is "eleven trillion, one hundred thirty billion, one hundred four million, one hundred forty-one thousand, one hundred".