13354628322401 has 2 divisors, whose sum is σ = 13354628322402. Its totient is φ = 13354628322400.

The previous prime is 13354628322379. The next prime is 13354628322407. The reversal of 13354628322401 is 10422382645331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10009149548176 + 3345478774225 = 3163724^2 + 1829065^2 .

It is an emirp because it is prime and its reverse (10422382645331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13354628322401 - 2¹⁴ = 13354628306017 is a prime.

It is not a weakly prime, because it can be changed into another prime (13354628322407) 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, 6677314161200 + 6677314161201.

It is an arithmetic number, because the mean of its divisors is an integer number (6677314161201).

Almost surely, 2^{13354628322401} is an apocalyptic number.

It is an amenable number.

13354628322401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13354628322401 is an equidigital number, since it uses as much as digits as its factorization.

13354628322401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 13354628322401 in words is "thirteen trillion, three hundred fifty-four billion, six hundred twenty-eight million, three hundred twenty-two thousand, four hundred one".