11031004000 has 96 divisors (see below), whose sum is σ = 27146429856. Its totient is φ = 4405363200.

The previous prime is 11031003989. The next prime is 11031004001. The reversal of 11031004000 is 40013011.

It is a happy number.

11031004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031004001) 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 15 ways as a sum of consecutive naturals, for example, 3026179 + ... + 3029821.

It is an arithmetic number, because the mean of its divisors is an integer number (282775311).

Almost surely, 2^11031004000 is an apocalyptic number.

11031004000 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 11031004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573214928).

11031004000 is an abundant number, since it is smaller than the sum of its proper divisors (16115425856).

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

11031004000 is an equidigital number, since it uses as much as digits as its factorization.

11031004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11031004000 its reverse (40013011), we get a palindrome (11071017011).

The spelling of 11031004000 in words is "eleven billion, thirty-one million, four thousand".