11133511120513 has 2 divisors, whose sum is σ = 11133511120514. Its totient is φ = 11133511120512.

The previous prime is 11133511120507. The next prime is 11133511120573. The reversal of 11133511120513 is 31502111533111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8458284505969 + 2675226614544 = 2908313^2 + 1635612^2 .

It is an emirp because it is prime and its reverse (31502111533111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11133511120513 is a prime.

It is not a weakly prime, because it can be changed into another prime (11133511120573) 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, 5566755560256 + 5566755560257.

It is an arithmetic number, because the mean of its divisors is an integer number (5566755560257).

Almost surely, 2^{11133511120513} is an apocalyptic number.

It is an amenable number.

11133511120513 is a deficient number, since it is larger than the sum of its proper divisors (1).

11133511120513 is an equidigital number, since it uses as much as digits as its factorization.

11133511120513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 28.

Adding to 11133511120513 its reverse (31502111533111), we get a palindrome (42635622653624).

The spelling of 11133511120513 in words is "eleven trillion, one hundred thirty-three billion, five hundred eleven million, one hundred twenty thousand, five hundred thirteen".