11106304311000 has 512 divisors, whose sum is σ = 36723270205440. Its totient is φ = 2790028800000.

The previous prime is 11106304310987. The next prime is 11106304311007. The reversal of 11106304311000 is 11340360111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106304311007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1856928010 + ... + 1856933990.

It is an arithmetic number, because the mean of its divisors is an integer number (71725137120).

Almost surely, 2^{11106304311000} is an apocalyptic number.

11106304311000 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 11106304311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18361635102720).

11106304311000 is an abundant number, since it is smaller than the sum of its proper divisors (25616965894440).

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

11106304311000 is a wasteful number, since it uses less digits than its factorization.

11106304311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6550 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11106304311000 its reverse (11340360111), we get a palindrome (11117644671111).

The spelling of 11106304311000 in words is "eleven trillion, one hundred six billion, three hundred four million, three hundred eleven thousand".