11130014042300 has 108 divisors (see below), whose sum is σ = 24534773892720. Its totient is φ = 4382524823040.

The previous prime is 11130014042291. The next prime is 11130014042311. The reversal of 11130014042300 is 324041003111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 210295241 + ... + 210348159.

It is an arithmetic number, because the mean of its divisors is an integer number (227173832340).

Almost surely, 2^{11130014042300} is an apocalyptic number.

11130014042300 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 11130014042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267386946360).

11130014042300 is an abundant number, since it is smaller than the sum of its proper divisors (13404759850420).

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

11130014042300 is a wasteful number, since it uses less digits than its factorization.

11130014042300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53428 (or 53342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11130014042300 its reverse (324041003111), we get a palindrome (11454055045411).

The spelling of 11130014042300 in words is "eleven trillion, one hundred thirty billion, fourteen million, forty-two thousand, three hundred".