13102201121 has 16 divisors (see below), whose sum is σ = 14224850640. Its totient is φ = 12019230720.

The previous prime is 13102201069. The next prime is 13102201129. The reversal of 13102201121 is 12110220131.

13102201121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5993856400 + 7108344721 = 77420^2 + 84311^2 .

It is a cyclic number.

It is not a de Polignac number, because 13102201121 - 2¹⁸ = 13101938977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13102201096 and 13102201105.

It is not an unprimeable number, because it can be changed into a prime (13102201129) 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 in 15 ways as a sum of consecutive naturals, for example, 770135 + ... + 786963.

It is an arithmetic number, because the mean of its divisors is an integer number (889053165).

Almost surely, 2^13102201121 is an apocalyptic number.

It is an amenable number.

13102201121 is a deficient number, since it is larger than the sum of its proper divisors (1122649519).

13102201121 is a wasteful number, since it uses less digits than its factorization.

13102201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18004.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 13102201121 its reverse (12110220131), we get a palindrome (25212421252).

The spelling of 13102201121 in words is "thirteen billion, one hundred two million, two hundred one thousand, one hundred twenty-one".