11011011312221 has 8 divisors (see below), whose sum is σ = 11404245617400. Its totient is φ = 10631321243424.

The previous prime is 11011011312137. The next prime is 11011011312229. The reversal of 11011011312221 is 12221311011011.

It can be written as a sum of positive squares in 4 ways, for example, as 1140920923321 + 9870090388900 = 1068139^2 + 3141670^2 .

It is not a de Polignac number, because 11011011312221 - 2¹⁰ = 11011011311197 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11011011312221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011011312229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225712856 + ... + 225761633.

It is an arithmetic number, because the mean of its divisors is an integer number (1425530702175).

Almost surely, 2^{11011011312221} is an apocalyptic number.

It is an amenable number.

11011011312221 is a deficient number, since it is larger than the sum of its proper divisors (393234305179).

11011011312221 is an frugal number, since it uses more digits than its factorization.

11011011312221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451474576 (or 451474518 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 11011011312221 its reverse (12221311011011), we get a palindrome (23232322323232).

The spelling of 11011011312221 in words is "eleven trillion, eleven billion, eleven million, three hundred twelve thousand, two hundred twenty-one".