11512511303213 has 2 divisors, whose sum is σ = 11512511303214. Its totient is φ = 11512511303212.

The previous prime is 11512511303179. The next prime is 11512511303273. The reversal of 11512511303213 is 31230311521511.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8672335883689 + 2840175419524 = 2944883^2 + 1685282^2 .

It is an emirp because it is prime and its reverse (31230311521511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11512511303213 - 2⁶ = 11512511303149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11512511303273) 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, 5756255651606 + 5756255651607.

It is an arithmetic number, because the mean of its divisors is an integer number (5756255651607).

Almost surely, 2^{11512511303213} is an apocalyptic number.

It is an amenable number.

11512511303213 is a deficient number, since it is larger than the sum of its proper divisors (1).

11512511303213 is an equidigital number, since it uses as much as digits as its factorization.

11512511303213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 29.

Adding to 11512511303213 its reverse (31230311521511), we get a palindrome (42742822824724).

The spelling of 11512511303213 in words is "eleven trillion, five hundred twelve billion, five hundred eleven million, three hundred three thousand, two hundred thirteen".