11003331300000 has 1152 divisors, whose sum is σ = 41222041620480. Its totient is φ = 2547417600000.

The previous prime is 11003331299971. The next prime is 11003331300043. The reversal of 11003331300000 is 313330011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12078299545 + ... + 12078300455.

It is an arithmetic number, because the mean of its divisors is an integer number (35783022240).

Almost surely, 2^{11003331300000} is an apocalyptic number.

11003331300000 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 11003331300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20611020810240).

11003331300000 is an abundant number, since it is smaller than the sum of its proper divisors (30218710320480).

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

11003331300000 is a wasteful number, since it uses less digits than its factorization.

11003331300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 11003331300000 its reverse (313330011), we get a palindrome (11003644630011).

The spelling of 11003331300000 in words is "eleven trillion, three billion, three hundred thirty-one million, three hundred thousand".