11331313001000 has 128 divisors (see below), whose sum is σ = 27137739657600. Its totient is φ = 4426165900800.

The previous prime is 11331313000999. The next prime is 11331313001017. The reversal of 11331313001000 is 10031313311.

It is a self number, because there is not a number n which added to its sum of digits gives 11331313001000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219833231 + ... + 219884769.

It is an arithmetic number, because the mean of its divisors is an integer number (212013591075).

Almost surely, 2^{11331313001000} is an apocalyptic number.

11331313001000 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 11331313001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13568869828800).

11331313001000 is an abundant number, since it is smaller than the sum of its proper divisors (15806426656600).

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

11331313001000 is a wasteful number, since it uses less digits than its factorization.

11331313001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56716 (or 56702 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 11331313001000 its reverse (10031313311), we get a palindrome (11341344314311).

The spelling of 11331313001000 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirteen million, one thousand".