10823448263513 has 2 divisors, whose sum is σ = 10823448263514. Its totient is φ = 10823448263512.

The previous prime is 10823448263473. The next prime is 10823448263543. The reversal of 10823448263513 is 31536284432801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8272135281424 + 2551312982089 = 2876132^2 + 1597283^2 .

It is an emirp because it is prime and its reverse (31536284432801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10823448263513 - 2¹⁰ = 10823448262489 is a prime.

It is not a weakly prime, because it can be changed into another prime (10823448263543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5411724131756 + 5411724131757.

It is an arithmetic number, because the mean of its divisors is an integer number (5411724131757).

Almost surely, 2^{10823448263513} is an apocalyptic number.

It is an amenable number.

10823448263513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10823448263513 is an equidigital number, since it uses as much as digits as its factorization.

10823448263513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3317760, while the sum is 50.

The spelling of 10823448263513 in words is "ten trillion, eight hundred twenty-three billion, four hundred forty-eight million, two hundred sixty-three thousand, five hundred thirteen".