11225321310013 has 2 divisors, whose sum is σ = 11225321310014. Its totient is φ = 11225321310012.

The previous prime is 11225321310011. The next prime is 11225321310061. The reversal of 11225321310013 is 31001312352211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11037557687524 + 187763622489 = 3322282^2 + 433317^2 .

It is a cyclic number.

It is not a de Polignac number, because 11225321310013 - 2¹ = 11225321310011 is a prime.

Together with 11225321310011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 11225321310013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11225321310011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5612660655006 + 5612660655007.

It is an arithmetic number, because the mean of its divisors is an integer number (5612660655007).

Almost surely, 2^{11225321310013} is an apocalyptic number.

It is an amenable number.

11225321310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11225321310013 is an equidigital number, since it uses as much as digits as its factorization.

11225321310013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 11225321310013 its reverse (31001312352211), we get a palindrome (42226633662224).

The spelling of 11225321310013 in words is "eleven trillion, two hundred twenty-five billion, three hundred twenty-one million, three hundred ten thousand, thirteen".