11330221311101 has 48 divisors (see below), whose sum is σ = 14402658071232. Its totient is φ = 8813763302400.

The previous prime is 11330221311091. The next prime is 11330221311203. The reversal of 11330221311101 is 10111312203311.

It is not a de Polignac number, because 11330221311101 - 2¹⁸ = 11330221048957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330221311601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 888150815 + ... + 888163571.

It is an arithmetic number, because the mean of its divisors is an integer number (300055376484).

Almost surely, 2^{11330221311101} is an apocalyptic number.

11330221311101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11330221311101 is a deficient number, since it is larger than the sum of its proper divisors (3072436760131).

11330221311101 is a wasteful number, since it uses less digits than its factorization.

11330221311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15450 (or 15443 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 11330221311101 its reverse (10111312203311), we get a palindrome (21441533514412).

The spelling of 11330221311101 in words is "eleven trillion, three hundred thirty billion, two hundred twenty-one million, three hundred eleven thousand, one hundred one".