11211311413 has 2 divisors, whose sum is σ = 11211311414. Its totient is φ = 11211311412.

The previous prime is 11211311389. The next prime is 11211311431. The reversal of 11211311413 is 31411311211.

11211311413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (11211311431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9431905924 + 1779405489 = 97118^2 + 42183^2 .

It is a cyclic number.

It is not a de Polignac number, because 11211311413 - 2²⁹ = 10674440501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11211311443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5605655706 + 5605655707.

It is an arithmetic number, because the mean of its divisors is an integer number (5605655707).

Almost surely, 2^11211311413 is an apocalyptic number.

It is an amenable number.

11211311413 is a deficient number, since it is larger than the sum of its proper divisors (1).

11211311413 is an equidigital number, since it uses as much as digits as its factorization.

11211311413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 19.

Adding to 11211311413 its reverse (31411311211), we get a palindrome (42622622624).

It can be divided in two parts, 11211 and 311413, that added together give a square (322624 = 568²).

The spelling of 11211311413 in words is "eleven billion, two hundred eleven million, three hundred eleven thousand, four hundred thirteen".