13013310097 has 2 divisors, whose sum is σ = 13013310098. Its totient is φ = 13013310096.

The previous prime is 13013310073. The next prime is 13013310131. The reversal of 13013310097 is 79001331031.

13013310097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11771382016 + 1241928081 = 108496^2 + 35241^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013310097 - 2³¹ = 10865826449 is a prime.

It is not a weakly prime, because it can be changed into another prime (13013310067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506655048 + 6506655049.

It is an arithmetic number, because the mean of its divisors is an integer number (6506655049).

Almost surely, 2^13013310097 is an apocalyptic number.

It is an amenable number.

13013310097 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013310097 is an equidigital number, since it uses as much as digits as its factorization.

13013310097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 28.

The spelling of 13013310097 in words is "thirteen billion, thirteen million, three hundred ten thousand, ninety-seven".