11205225313 has 2 divisors, whose sum is σ = 11205225314. Its totient is φ = 11205225312.

The previous prime is 11205225293. The next prime is 11205225331. The reversal of 11205225313 is 31352250211.

11205225313 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 (11205225331) 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., 9930521104 + 1274704209 = 99652^2 + 35703^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11205225313 is a prime.

It is not a weakly prime, because it can be changed into another prime (11205225413) 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, 5602612656 + 5602612657.

It is an arithmetic number, because the mean of its divisors is an integer number (5602612657).

Almost surely, 2^11205225313 is an apocalyptic number.

It is an amenable number.

11205225313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11205225313 is an equidigital number, since it uses as much as digits as its factorization.

11205225313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 11205225313 its reverse (31352250211), we get a palindrome (42557475524).

The spelling of 11205225313 in words is "eleven billion, two hundred five million, two hundred twenty-five thousand, three hundred thirteen".