11331111322213 has 2 divisors, whose sum is σ = 11331111322214. Its totient is φ = 11331111322212.

The previous prime is 11331111322211. The next prime is 11331111322229. The reversal of 11331111322213 is 31222311113311.

11331111322213 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., 11164466120929 + 166645201284 = 3341327^2 + 408222^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331111322213 - 2¹ = 11331111322211 is a prime.

It is a super-2 number, since 2×11331111322213² (a number of 27 digits) contains 22 as substring.

Together with 11331111322211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11331111322211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665555661106 + 5665555661107.

It is an arithmetic number, because the mean of its divisors is an integer number (5665555661107).

Almost surely, 2^{11331111322213} is an apocalyptic number.

It is an amenable number.

11331111322213 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331111322213 is an equidigital number, since it uses as much as digits as its factorization.

11331111322213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 25.

Adding to 11331111322213 its reverse (31222311113311), we get a palindrome (42553422435524).

The spelling of 11331111322213 in words is "eleven trillion, three hundred thirty-one billion, one hundred eleven million, three hundred twenty-two thousand, two hundred thirteen".