13220312129 has 2 divisors, whose sum is σ = 13220312130. Its totient is φ = 13220312128.

The previous prime is 13220312033. The next prime is 13220312159. The reversal of 13220312129 is 92121302231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11104312129 + 2116000000 = 105377^2 + 46000^2 .

It is a cyclic number.

It is not a de Polignac number, because 13220312129 - 2¹⁶ = 13220246593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13220312098 and 13220312107.

It is not a weakly prime, because it can be changed into another prime (13220312159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610156064 + 6610156065.

It is an arithmetic number, because the mean of its divisors is an integer number (6610156065).

Almost surely, 2^13220312129 is an apocalyptic number.

It is an amenable number.

13220312129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13220312129 is an equidigital number, since it uses as much as digits as its factorization.

13220312129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 13220312129 in words is "thirteen billion, two hundred twenty million, three hundred twelve thousand, one hundred twenty-nine".