13200348488729 has 2 divisors, whose sum is σ = 13200348488730. Its totient is φ = 13200348488728.

The previous prime is 13200348488689. The next prime is 13200348488737. The reversal of 13200348488729 is 92788484300231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8785088521225 + 4415259967504 = 2963965^2 + 2101252^2 .

It is a cyclic number.

It is not a de Polignac number, because 13200348488729 - 2²⁸ = 13200080053273 is a prime.

It is not a weakly prime, because it can be changed into another prime (13200348488779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600174244364 + 6600174244365.

It is an arithmetic number, because the mean of its divisors is an integer number (6600174244365).

Almost surely, 2^{13200348488729} is an apocalyptic number.

It is an amenable number.

13200348488729 is a deficient number, since it is larger than the sum of its proper divisors (1).

13200348488729 is an equidigital number, since it uses as much as digits as its factorization.

13200348488729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18579456, while the sum is 59.

The spelling of 13200348488729 in words is "thirteen trillion, two hundred billion, three hundred forty-eight million, four hundred eighty-eight thousand, seven hundred twenty-nine".