2011321334213 has 2 divisors, whose sum is σ = 2011321334214. Its totient is φ = 2011321334212.

The previous prime is 2011321334189. The next prime is 2011321334219. The reversal of 2011321334213 is 3124331231102.

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., 1945193668804 + 66127665409 = 1394702^2 + 257153^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011321334213 - 2⁶ = 2011321334149 is a prime.

It is a super-3 number, since 3×2011321334213³ (a number of 38 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011321334219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005660667106 + 1005660667107.

It is an arithmetic number, because the mean of its divisors is an integer number (1005660667107).

Almost surely, 2^{2011321334213} is an apocalyptic number.

It is an amenable number.

2011321334213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011321334213 is an equidigital number, since it uses as much as digits as its factorization.

2011321334213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 2011321334213 its reverse (3124331231102), we get a palindrome (5135652565315).

The spelling of 2011321334213 in words is "two trillion, eleven billion, three hundred twenty-one million, three hundred thirty-four thousand, two hundred thirteen".