13038947321 has 2 divisors, whose sum is σ = 13038947322. Its totient is φ = 13038947320.

The previous prime is 13038947309. The next prime is 13038947329. The reversal of 13038947321 is 12374983031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12982095721 + 56851600 = 113939^2 + 7540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13038947321 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13038947329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6519473660 + 6519473661.

It is an arithmetic number, because the mean of its divisors is an integer number (6519473661).

Almost surely, 2^13038947321 is an apocalyptic number.

It is an amenable number.

13038947321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13038947321 is an equidigital number, since it uses as much as digits as its factorization.

13038947321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 13038947321 in words is "thirteen billion, thirty-eight million, nine hundred forty-seven thousand, three hundred twenty-one".