21013233331121 has 2 divisors, whose sum is σ = 21013233331122. Its totient is φ = 21013233331120.

The previous prime is 21013233331099. The next prime is 21013233331199. The reversal of 21013233331121 is 12113333231012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11507943536896 + 9505289794225 = 3392336^2 + 3083065^2 .

It is a cyclic number.

It is not a de Polignac number, because 21013233331121 - 2³⁰ = 21012159589297 is a prime.

It is not a weakly prime, because it can be changed into another prime (21013233391121) 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 as a sum of consecutive naturals, namely, 10506616665560 + 10506616665561.

It is an arithmetic number, because the mean of its divisors is an integer number (10506616665561).

Almost surely, 2^{21013233331121} is an apocalyptic number.

It is an amenable number.

21013233331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

21013233331121 is an equidigital number, since it uses as much as digits as its factorization.

21013233331121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 21013233331121 its reverse (12113333231012), we get a palindrome (33126566562133).

The spelling of 21013233331121 in words is "twenty-one trillion, thirteen billion, two hundred thirty-three million, three hundred thirty-one thousand, one hundred twenty-one".