11213211331121 has 2 divisors, whose sum is σ = 11213211331122. Its totient is φ = 11213211331120.

The previous prime is 11213211331111. The next prime is 11213211331193. The reversal of 11213211331121 is 12113311231211.

11213211331121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9647111760400 + 1566099570721 = 3105980^2 + 1251439^2 .

It is a cyclic number.

It is not a de Polignac number, because 11213211331121 - 2³⁰ = 11212137589297 is a prime.

It is a super-2 number, since 2×11213211331121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11213211331111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5606605665560 + 5606605665561.

It is an arithmetic number, because the mean of its divisors is an integer number (5606605665561).

Almost surely, 2^{11213211331121} is an apocalyptic number.

It is an amenable number.

11213211331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11213211331121 is an equidigital number, since it uses as much as digits as its factorization.

11213211331121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216, while the sum is 23.

Adding to 11213211331121 its reverse (12113311231211), we get a palindrome (23326522562332).

The spelling of 11213211331121 in words is "eleven trillion, two hundred thirteen billion, two hundred eleven million, three hundred thirty-one thousand, one hundred twenty-one".