13311200414401 has 2 divisors, whose sum is σ = 13311200414402. Its totient is φ = 13311200414400.

The previous prime is 13311200414399. The next prime is 13311200414419. The reversal of 13311200414401 is 10441400211331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9662523571600 + 3648676842801 = 3108460^2 + 1910151^2 .

It is a cyclic number.

It is not a de Polignac number, because 13311200414401 - 2¹ = 13311200414399 is a prime.

Together with 13311200414399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13311200414441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655600207200 + 6655600207201.

It is an arithmetic number, because the mean of its divisors is an integer number (6655600207201).

Almost surely, 2^{13311200414401} is an apocalyptic number.

It is an amenable number.

13311200414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311200414401 is an equidigital number, since it uses as much as digits as its factorization.

13311200414401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 13311200414401 its reverse (10441400211331), we get a palindrome (23752600625732).

The spelling of 13311200414401 in words is "thirteen trillion, three hundred eleven billion, two hundred million, four hundred fourteen thousand, four hundred one".