13110034214401 has 2 divisors, whose sum is σ = 13110034214402. Its totient is φ = 13110034214400.

The previous prime is 13110034214377. The next prime is 13110034214411. The reversal of 13110034214401 is 10441243001131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10478971791376 + 2631062423025 = 3237124^2 + 1622055^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13110034214401 is a prime.

It is not a weakly prime, because it can be changed into another prime (13110034214411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6555017107200 + 6555017107201.

It is an arithmetic number, because the mean of its divisors is an integer number (6555017107201).

Almost surely, 2^{13110034214401} is an apocalyptic number.

It is an amenable number.

13110034214401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13110034214401 is an equidigital number, since it uses as much as digits as its factorization.

13110034214401 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 13110034214401 its reverse (10441243001131), we get a palindrome (23551277215532).

The spelling of 13110034214401 in words is "thirteen trillion, one hundred ten billion, thirty-four million, two hundred fourteen thousand, four hundred one".