13101605729 has 2 divisors, whose sum is σ = 13101605730. Its totient is φ = 13101605728.

The previous prime is 13101605659. The next prime is 13101605767. The reversal of 13101605729 is 92750610131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12420656704 + 680949025 = 111448^2 + 26095^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101605729 - 2²⁴ = 13084828513 is a prime.

It is a super-3 number, since 3×13101605729³ (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13101605129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550802864 + 6550802865.

It is an arithmetic number, because the mean of its divisors is an integer number (6550802865).

Almost surely, 2^13101605729 is an apocalyptic number.

It is an amenable number.

13101605729 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101605729 is an equidigital number, since it uses as much as digits as its factorization.

13101605729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 35.

The spelling of 13101605729 in words is "thirteen billion, one hundred one million, six hundred five thousand, seven hundred twenty-nine".