11134003410200 has 96 divisors (see below), whose sum is σ = 28580121380160. Its totient is φ = 3999948585600.

The previous prime is 11134003410197. The next prime is 11134003410263. The reversal of 11134003410200 is 201430043111.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30304814 + ... + 30670013.

It is an arithmetic number, because the mean of its divisors is an integer number (297709597710).

Almost surely, 2^{11134003410200} is an apocalyptic number.

11134003410200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11134003410200 is an abundant number, since it is smaller than the sum of its proper divisors (17446117969960).

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

11134003410200 is a wasteful number, since it uses less digits than its factorization.

11134003410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60974937 (or 60974928 counting only the distinct ones).

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

Adding to 11134003410200 its reverse (201430043111), we get a palindrome (11335433453311).

The spelling of 11134003410200 in words is "eleven trillion, one hundred thirty-four billion, three million, four hundred ten thousand, two hundred".