13022111312401 has 2 divisors, whose sum is σ = 13022111312402. Its totient is φ = 13022111312400.

The previous prime is 13022111312347. The next prime is 13022111312429. The reversal of 13022111312401 is 10421311122031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6653428171776 + 6368683140625 = 2579424^2 + 2523625^2 .

It is a cyclic number.

It is not a de Polignac number, because 13022111312401 - 2¹⁷ = 13022111181329 is a prime.

It is not a weakly prime, because it can be changed into another prime (13022111312101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511055656200 + 6511055656201.

It is an arithmetic number, because the mean of its divisors is an integer number (6511055656201).

Almost surely, 2^{13022111312401} is an apocalyptic number.

It is an amenable number.

13022111312401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022111312401 is an equidigital number, since it uses as much as digits as its factorization.

13022111312401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 13022111312401 its reverse (10421311122031), we get a palindrome (23443422434432).

The spelling of 13022111312401 in words is "thirteen trillion, twenty-two billion, one hundred eleven million, three hundred twelve thousand, four hundred one".