11505120121013 has 8 divisors (see below), whose sum is σ = 11540173396128. Its totient is φ = 11470116675024.

The previous prime is 11505120121007. The next prime is 11505120121043. The reversal of 11505120121013 is 31012102150511.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11505120121013 - 2¹⁶ = 11505120055477 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11505120121013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11505120121043) 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 in 7 ways as a sum of consecutive naturals, for example, 11994770 + ... + 12918387.

It is an arithmetic number, because the mean of its divisors is an integer number (1442521674516).

Almost surely, 2^{11505120121013} is an apocalyptic number.

It is an amenable number.

11505120121013 is a deficient number, since it is larger than the sum of its proper divisors (35053275115).

11505120121013 is an equidigital number, since it uses as much as digits as its factorization.

11505120121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24914563.

The product of its (nonzero) digits is 300, while the sum is 23.

Adding to 11505120121013 its reverse (31012102150511), we get a palindrome (42517222271524).

The spelling of 11505120121013 in words is "eleven trillion, five hundred five billion, one hundred twenty million, one hundred twenty-one thousand, thirteen".