13122121312273 has 2 divisors, whose sum is σ = 13122121312274. Its totient is φ = 13122121312272.

The previous prime is 13122121312241. The next prime is 13122121312301. The reversal of 13122121312273 is 37221312122131.

13122121312273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6851138731024 + 6270982581249 = 2617468^2 + 2504193^2 .

It is a cyclic number.

It is not a de Polignac number, because 13122121312273 - 2⁵ = 13122121312241 is a prime.

It is not a weakly prime, because it can be changed into another prime (13122121312673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561060656136 + 6561060656137.

It is an arithmetic number, because the mean of its divisors is an integer number (6561060656137).

Almost surely, 2^{13122121312273} is an apocalyptic number.

It is an amenable number.

13122121312273 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122121312273 is an equidigital number, since it uses as much as digits as its factorization.

13122121312273 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 31.

The spelling of 13122121312273 in words is "thirteen trillion, one hundred twenty-two billion, one hundred twenty-one million, three hundred twelve thousand, two hundred seventy-three".