11331002000 has 80 divisors (see below), whose sum is σ = 27596150400. Its totient is φ = 4499683200.

The previous prime is 11331001963. The next prime is 11331002009. The reversal of 11331002000 is 20013311.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11331002009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257621 + ... + 298379.

It is an arithmetic number, because the mean of its divisors is an integer number (344951880).

Almost surely, 2^11331002000 is an apocalyptic number.

11331002000 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 11331002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13798075200).

11331002000 is an abundant number, since it is smaller than the sum of its proper divisors (16265148400).

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

11331002000 is a wasteful number, since it uses less digits than its factorization.

11331002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40921 (or 40905 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 11331002000 its reverse (20013311), we get a palindrome (11351015311).

The spelling of 11331002000 in words is "eleven billion, three hundred thirty-one million, two thousand".