13032123033121 has 16 divisors (see below), whose sum is σ = 13222869620688. Its totient is φ = 12842729625600.

The previous prime is 13032123033103. The next prime is 13032123033191. The reversal of 13032123033121 is 12133032123031.

It can be written as a sum of positive squares in 8 ways, for example, as 3372956306721 + 9659166726400 = 1836561^2 + 3107920^2 .

It is a cyclic number.

It is not a de Polignac number, because 13032123033121 - 2²¹ = 13032120935969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13032123033191) 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 in 15 ways as a sum of consecutive naturals, for example, 100911931 + ... + 101040991.

It is an arithmetic number, because the mean of its divisors is an integer number (826429351293).

Almost surely, 2^{13032123033121} is an apocalyptic number.

It is an amenable number.

13032123033121 is a deficient number, since it is larger than the sum of its proper divisors (190746587567).

13032123033121 is a wasteful number, since it uses less digits than its factorization.

13032123033121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134292.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13032123033121 its reverse (12133032123031), we get a palindrome (25165155156152).

The spelling of 13032123033121 in words is "thirteen trillion, thirty-two billion, one hundred twenty-three million, thirty-three thousand, one hundred twenty-one".