13124410352401 has 2 divisors, whose sum is σ = 13124410352402. Its totient is φ = 13124410352400.

The previous prime is 13124410352399. The next prime is 13124410352489. The reversal of 13124410352401 is 10425301442131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9112096890625 + 4012313461776 = 3018625^2 + 2003076^2 .

It is a cyclic number.

It is not a de Polignac number, because 13124410352401 - 2¹ = 13124410352399 is a prime.

Together with 13124410352399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13124410332401) 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, 6562205176200 + 6562205176201.

It is an arithmetic number, because the mean of its divisors is an integer number (6562205176201).

Almost surely, 2^{13124410352401} is an apocalyptic number.

It is an amenable number.

13124410352401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13124410352401 is an equidigital number, since it uses as much as digits as its factorization.

13124410352401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 13124410352401 its reverse (10425301442131), we get a palindrome (23549711794532).

The spelling of 13124410352401 in words is "thirteen trillion, one hundred twenty-four billion, four hundred ten million, three hundred fifty-two thousand, four hundred one".