11331313000 has 128 divisors (see below), whose sum is σ = 30583238400. Its totient is φ = 3849120000.

The previous prime is 11331312989. The next prime is 11331313003. The reversal of 11331313000 is 31313311.

It is not an unprimeable number, because it can be changed into a prime (11331313003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755575 + ... + 770425.

It is an arithmetic number, because the mean of its divisors is an integer number (238931550).

Almost surely, 2^11331313000 is an apocalyptic number.

11331313000 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 11331313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15291619200).

11331313000 is an abundant number, since it is smaller than the sum of its proper divisors (19251925400).

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

11331313000 is a wasteful number, since it uses less digits than its factorization.

11331313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14988 (or 14974 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 11331313000 its reverse (31313311), we get a palindrome (11362626311).

The spelling of 11331313000 in words is "eleven billion, three hundred thirty-one million, three hundred thirteen thousand".