11032311120013 has 2 divisors, whose sum is σ = 11032311120014. Its totient is φ = 11032311120012.

The previous prime is 11032311120011. The next prime is 11032311120029. The reversal of 11032311120013 is 31002111323011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8394214014729 + 2638097105284 = 2897277^2 + 1624222^2 .

It is a cyclic number.

It is not a de Polignac number, because 11032311120013 - 2¹ = 11032311120011 is a prime.

Together with 11032311120011, 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 (11032311120011) 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, 5516155560006 + 5516155560007.

It is an arithmetic number, because the mean of its divisors is an integer number (5516155560007).

Almost surely, 2^{11032311120013} is an apocalyptic number.

It is an amenable number.

11032311120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11032311120013 is an equidigital number, since it uses as much as digits as its factorization.

11032311120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 11032311120013 its reverse (31002111323011), we get a palindrome (42034422443024).

The spelling of 11032311120013 in words is "eleven trillion, thirty-two billion, three hundred eleven million, one hundred twenty thousand, thirteen".