11033103010000 has 200 divisors, whose sum is σ = 27034549381224. Its totient is φ = 4360151040000.

The previous prime is 11033103009989. The next prime is 11033103010003. The reversal of 11033103010000 is 1030133011.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 10198927667776 + 834175342224 = 3193576^2 + 913332^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033103010003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 575200410 + ... + 575219590.

Almost surely, 2^{11033103010000} is an apocalyptic number.

11033103010000 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 11033103010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517274690612).

11033103010000 is an abundant number, since it is smaller than the sum of its proper divisors (16001446371224).

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

11033103010000 is an equidigital number, since it uses as much as digits as its factorization.

11033103010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19899 (or 19878 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 11033103010000 its reverse (1030133011), we get a palindrome (11034133143011).

The spelling of 11033103010000 in words is "eleven trillion, thirty-three billion, one hundred three million, ten thousand".