13223129054657 has 2 divisors, whose sum is σ = 13223129054658. Its totient is φ = 13223129054656.

The previous prime is 13223129054647. The next prime is 13223129054683. The reversal of 13223129054657 is 75645092132231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9053695852096 + 4169433202561 = 3008936^2 + 2041919^2 .

It is an emirp because it is prime and its reverse (75645092132231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13223129054657 - 2⁶ = 13223129054593 is a prime.

It is a super-2 number, since 2×13223129054657² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13223129054647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6611564527328 + 6611564527329.

It is an arithmetic number, because the mean of its divisors is an integer number (6611564527329).

Almost surely, 2^{13223129054657} is an apocalyptic number.

It is an amenable number.

13223129054657 is a deficient number, since it is larger than the sum of its proper divisors (1).

13223129054657 is an equidigital number, since it uses as much as digits as its factorization.

13223129054657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 13223129054657 in words is "thirteen trillion, two hundred twenty-three billion, one hundred twenty-nine million, fifty-four thousand, six hundred fifty-seven".