13627220734321 has 2 divisors, whose sum is σ = 13627220734322. Its totient is φ = 13627220734320.

The previous prime is 13627220734301. The next prime is 13627220734327. The reversal of 13627220734321 is 12343702272631.

13627220734321 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., 11026145278096 + 2601075456225 = 3320564^2 + 1612785^2 .

It is a cyclic number.

It is not a de Polignac number, because 13627220734321 - 2⁹ = 13627220733809 is a prime.

It is a super-2 number, since 2×13627220734321² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13627220734327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6813610367160 + 6813610367161.

It is an arithmetic number, because the mean of its divisors is an integer number (6813610367161).

Almost surely, 2^{13627220734321} is an apocalyptic number.

It is an amenable number.

13627220734321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13627220734321 is an equidigital number, since it uses as much as digits as its factorization.

13627220734321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 508032, while the sum is 43.

The spelling of 13627220734321 in words is "thirteen trillion, six hundred twenty-seven billion, two hundred twenty million, seven hundred thirty-four thousand, three hundred twenty-one".