13123222232129 has 2 divisors, whose sum is σ = 13123222232130. Its totient is φ = 13123222232128.

The previous prime is 13123222232117. The next prime is 13123222232137. The reversal of 13123222232129 is 92123222232131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12977105640625 + 146116591504 = 3602375^2 + 382252^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13123222232129 is a prime.

It is not a weakly prime, because it can be changed into another prime (13123222232149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561611116064 + 6561611116065.

It is an arithmetic number, because the mean of its divisors is an integer number (6561611116065).

Almost surely, 2^{13123222232129} is an apocalyptic number.

It is an amenable number.

13123222232129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123222232129 is an equidigital number, since it uses as much as digits as its factorization.

13123222232129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31104, while the sum is 35.

The spelling of 13123222232129 in words is "thirteen trillion, one hundred twenty-three billion, two hundred twenty-two million, two hundred thirty-two thousand, one hundred twenty-nine".