13123303213513 has 2 divisors, whose sum is σ = 13123303213514. Its totient is φ = 13123303213512.

The previous prime is 13123303213511. The next prime is 13123303213549. The reversal of 13123303213513 is 31531230332131.

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., 7455723087289 + 5667580126224 = 2730517^2 + 2380668^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123303213513 - 2¹ = 13123303213511 is a prime.

Together with 13123303213511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13123303213511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561651606756 + 6561651606757.

It is an arithmetic number, because the mean of its divisors is an integer number (6561651606757).

Almost surely, 2^{13123303213513} is an apocalyptic number.

It is an amenable number.

13123303213513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123303213513 is an equidigital number, since it uses as much as digits as its factorization.

13123303213513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14580, while the sum is 31.

Adding to 13123303213513 its reverse (31531230332131), we get a palindrome (44654533545644).

The spelling of 13123303213513 in words is "thirteen trillion, one hundred twenty-three billion, three hundred three million, two hundred thirteen thousand, five hundred thirteen".