21200011011133 has 2 divisors, whose sum is σ = 21200011011134. Its totient is φ = 21200011011132.

The previous prime is 21200011011043. The next prime is 21200011011197. The reversal of 21200011011133 is 33111011000212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21102291000729 + 97720010404 = 4593723^2 + 312602^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21200011011133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21200011011433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600005505566 + 10600005505567.

It is an arithmetic number, because the mean of its divisors is an integer number (10600005505567).

Almost surely, 2^{21200011011133} is an apocalyptic number.

It is an amenable number.

21200011011133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21200011011133 is an equidigital number, since it uses as much as digits as its factorization.

21200011011133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 21200011011133 its reverse (33111011000212), we get a palindrome (54311022011345).

The spelling of 21200011011133 in words is "twenty-one trillion, two hundred billion, eleven million, eleven thousand, one hundred thirty-three".