13012122321 has 36 divisors (see below), whose sum is σ = 20849008180. Its totient is φ = 7813713600.

The previous prime is 13012122307. The next prime is 13012122353. The reversal of 13012122321 is 12322121031.

13012122321 is a `hidden beast` number, since 1 + 301 + 21 + 22 + 321 = 666.

13012122321 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 2 ways, for example, as 8690900625 + 4321221696 = 93225^2 + 65736^2 .

It is not a de Polignac number, because 13012122321 - 2⁵ = 13012122289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13012122294 and 13012122303.

It is not an unprimeable number, because it can be changed into a prime (13012122391) 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 35 ways as a sum of consecutive naturals, for example, 63891 + ... + 173511.

Almost surely, 2^13012122321 is an apocalyptic number.

13012122321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13012122321 is a deficient number, since it is larger than the sum of its proper divisors (7836885859).

13012122321 is a wasteful number, since it uses less digits than its factorization.

13012122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109758 (or 109744 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13012122321 its reverse (12322121031), we get a palindrome (25334243352).

The spelling of 13012122321 in words is "thirteen billion, twelve million, one hundred twenty-two thousand, three hundred twenty-one".