11540442021013 has 2 divisors, whose sum is σ = 11540442021014. Its totient is φ = 11540442021012.

The previous prime is 11540442021011. The next prime is 11540442021127. The reversal of 11540442021013 is 31012024404511.

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., 6006312805284 + 5534129215729 = 2450778^2 + 2352473^2 .

It is a cyclic number.

It is not a de Polignac number, because 11540442021013 - 2¹ = 11540442021011 is a prime.

Together with 11540442021011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11540442021011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5770221010506 + 5770221010507.

It is an arithmetic number, because the mean of its divisors is an integer number (5770221010507).

Almost surely, 2^{11540442021013} is an apocalyptic number.

It is an amenable number.

11540442021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11540442021013 is an equidigital number, since it uses as much as digits as its factorization.

11540442021013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 11540442021013 its reverse (31012024404511), we get a palindrome (42552466425524).

The spelling of 11540442021013 in words is "eleven trillion, five hundred forty billion, four hundred forty-two million, twenty-one thousand, thirteen".