11222121121133 has 12 divisors (see below), whose sum is σ = 12381042872340. Its totient is φ = 10163430441216.

The previous prime is 11222121121109. The next prime is 11222121121153. The reversal of 11222121121133 is 33112112122211.

It can be written as a sum of positive squares in 6 ways, for example, as 961611661924 + 10260509459209 = 980618^2 + 3203203^2 .

It is not a de Polignac number, because 11222121121133 - 2¹⁶ = 11222121055597 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11222121121099 and 11222121121108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222121121153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626435228 + ... + 626453141.

It is an arithmetic number, because the mean of its divisors is an integer number (1031753572695).

Almost surely, 2^{11222121121133} is an apocalyptic number.

11222121121133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11222121121133 is a deficient number, since it is larger than the sum of its proper divisors (1158921751207).

11222121121133 is a wasteful number, since it uses less digits than its factorization.

11222121121133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252888448 (or 1252888435 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

Adding to 11222121121133 its reverse (33112112122211), we get a palindrome (44334233243344).

The spelling of 11222121121133 in words is "eleven trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred thirty-three".