13505121121 has 2 divisors, whose sum is σ = 13505121122. Its totient is φ = 13505121120.

The previous prime is 13505121109. The next prime is 13505121167. The reversal of 13505121121 is 12112150531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13417978896 + 87142225 = 115836^2 + 9335^2 .

It is a cyclic number.

It is not a de Polignac number, because 13505121121 - 2⁹ = 13505120609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13505121092 and 13505121101.

It is not a weakly prime, because it can be changed into another prime (13505121221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6752560560 + 6752560561.

It is an arithmetic number, because the mean of its divisors is an integer number (6752560561).

Almost surely, 2^13505121121 is an apocalyptic number.

It is an amenable number.

13505121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13505121121 is an equidigital number, since it uses as much as digits as its factorization.

13505121121 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.

Adding to 13505121121 its reverse (12112150531), we get a palindrome (25617271652).

The spelling of 13505121121 in words is "thirteen billion, five hundred five million, one hundred twenty-one thousand, one hundred twenty-one".