11405513101 has 2 divisors, whose sum is σ = 11405513102. Its totient is φ = 11405513100.

The previous prime is 11405513083. The next prime is 11405513117. The reversal of 11405513101 is 10131550411.

11405513101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10660769001 + 744744100 = 103251^2 + 27290^2 .

It is an emirp because it is prime and its reverse (10131550411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11405513101 - 2¹¹ = 11405511053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11405513191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5702756550 + 5702756551.

It is an arithmetic number, because the mean of its divisors is an integer number (5702756551).

Almost surely, 2^11405513101 is an apocalyptic number.

It is an amenable number.

11405513101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11405513101 is an equidigital number, since it uses as much as digits as its factorization.

11405513101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300, while the sum is 22.

The spelling of 11405513101 in words is "eleven billion, four hundred five million, five hundred thirteen thousand, one hundred one".