11124431240401 has 2 divisors, whose sum is σ = 11124431240402. Its totient is φ = 11124431240400.

The previous prime is 11124431240347. The next prime is 11124431240441. The reversal of 11124431240401 is 10404213442111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11023894050625 + 100537189776 = 3320225^2 + 317076^2 .

It is an emirp because it is prime and its reverse (10404213442111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11124431240401 - 2¹¹ = 11124431238353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11124431240401.

It is not a weakly prime, because it can be changed into another prime (11124431240441) 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, 5562215620200 + 5562215620201.

It is an arithmetic number, because the mean of its divisors is an integer number (5562215620201).

Almost surely, 2^{11124431240401} is an apocalyptic number.

It is an amenable number.

11124431240401 is a deficient number, since it is larger than the sum of its proper divisors (1).

11124431240401 is an equidigital number, since it uses as much as digits as its factorization.

11124431240401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 11124431240401 its reverse (10404213442111), we get a palindrome (21528644682512).

The spelling of 11124431240401 in words is "eleven trillion, one hundred twenty-four billion, four hundred thirty-one million, two hundred forty thousand, four hundred one".