11265320013121 has 2 divisors, whose sum is σ = 11265320013122. Its totient is φ = 11265320013120.

The previous prime is 11265320013049. The next prime is 11265320013137. The reversal of 11265320013121 is 12131002356211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10047632040000 + 1217687973121 = 3169800^2 + 1103489^2 .

It is a cyclic number.

It is not a de Polignac number, because 11265320013121 - 2⁷ = 11265320012993 is a prime.

It is a super-2 number, since 2×11265320013121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11265320013121.

It is not a weakly prime, because it can be changed into another prime (11265320013421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5632660006560 + 5632660006561.

It is an arithmetic number, because the mean of its divisors is an integer number (5632660006561).

Almost surely, 2^{11265320013121} is an apocalyptic number.

It is an amenable number.

11265320013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11265320013121 is an equidigital number, since it uses as much as digits as its factorization.

11265320013121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 11265320013121 its reverse (12131002356211), we get a palindrome (23396322369332).

The spelling of 11265320013121 in words is "eleven trillion, two hundred sixty-five billion, three hundred twenty million, thirteen thousand, one hundred twenty-one".