11003011002 has 80 divisors (see below), whose sum is σ = 25298785512. Its totient is φ = 3572190720.

The previous prime is 11003011001. The next prime is 11003011037. The reversal of 11003011002 is 20011030011.

It can be written as a sum of positive squares in 4 ways, for example, as 9870621201 + 1132389801 = 99351^2 + 33651^2 .

It is a super-2 number, since 2×11003011002² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11003011001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5691228 + ... + 5693160.

Almost surely, 2^11003011002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11003011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12649392756).

11003011002 is an abundant number, since it is smaller than the sum of its proper divisors (14295774510).

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

11003011002 is a wasteful number, since it uses less digits than its factorization.

11003011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11003011002 its reverse (20011030011), we get a palindrome (31014041013).

The spelling of 11003011002 in words is "eleven billion, three million, eleven thousand, two".