11133112013213 has 2 divisors, whose sum is σ = 11133112013214. Its totient is φ = 11133112013212.

The previous prime is 11133112013203. The next prime is 11133112013237. The reversal of 11133112013213 is 31231021133111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7948553985124 + 3184558028089 = 2819318^2 + 1784533^2 .

It is a cyclic number.

It is not a de Polignac number, because 11133112013213 - 2²⁰ = 11133110964637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11133112013203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5566556006606 + 5566556006607.

It is an arithmetic number, because the mean of its divisors is an integer number (5566556006607).

Almost surely, 2^{11133112013213} is an apocalyptic number.

It is an amenable number.

11133112013213 is a deficient number, since it is larger than the sum of its proper divisors (1).

11133112013213 is an equidigital number, since it uses as much as digits as its factorization.

11133112013213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 11133112013213 its reverse (31231021133111), we get a palindrome (42364133146324).

The spelling of 11133112013213 in words is "eleven trillion, one hundred thirty-three billion, one hundred twelve million, thirteen thousand, two hundred thirteen".