11355323320513 has 2 divisors, whose sum is σ = 11355323320514. Its totient is φ = 11355323320512.

The previous prime is 11355323320507. The next prime is 11355323320573. The reversal of 11355323320513 is 31502332355311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11016072988209 + 339250332304 = 3319047^2 + 582452^2 .

It is an emirp because it is prime and its reverse (31502332355311) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11355323320513 is a prime.

It is not a weakly prime, because it can be changed into another prime (11355323320573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5677661660256 + 5677661660257.

It is an arithmetic number, because the mean of its divisors is an integer number (5677661660257).

Almost surely, 2^{11355323320513} is an apocalyptic number.

It is an amenable number.

11355323320513 is a deficient number, since it is larger than the sum of its proper divisors (1).

11355323320513 is an equidigital number, since it uses as much as digits as its factorization.

11355323320513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 121500, while the sum is 37.

Adding to 11355323320513 its reverse (31502332355311), we get a palindrome (42857655675824).

The spelling of 11355323320513 in words is "eleven trillion, three hundred fifty-five billion, three hundred twenty-three million, three hundred twenty thousand, five hundred thirteen".