13153122432 has 216 divisors, whose sum is σ = 39471913845. Its totient is φ = 4204016640.

The previous prime is 13153122431. The next prime is 13153122491. The reversal of 13153122432 is 23422135131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13153122432 is a `hidden beast` number, since 1 + 315 + 312 + 2 + 4 + 32 = 666.

13153122432 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 12621174336 + 531948096 = 112344^2 + 23064^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=81096.

It is a super-2 number, since 2×13153122432² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13153122396 and 13153122405.

It is not an unprimeable number, because it can be changed into a prime (13153122431) 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 26 ways as a sum of consecutive naturals, for example, 120670794 + ... + 120670902.

Almost surely, 2^13153122432 is an apocalyptic number.

13153122432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13153122432

13153122432 is an abundant number, since it is smaller than the sum of its proper divisors (26318791413).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13153122432 is an equidigital number, since it uses as much as digits as its factorization.

13153122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 145 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 13153122432 its reverse (23422135131), we get a palindrome (36575257563).

The spelling of 13153122432 in words is "thirteen billion, one hundred fifty-three million, one hundred twenty-two thousand, four hundred thirty-two".