13330441125 has 48 divisors (see below), whose sum is σ = 24251026800. Its totient is φ = 7044278400.

The previous prime is 13330441109. The next prime is 13330441127. The reversal of 13330441125 is 52114403331.

It is a happy number.

13330441125 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 3255501249 + 10074939876 = 57057^2 + 100374^2 .

It is not a de Polignac number, because 13330441125 - 2⁴ = 13330441109 is a prime.

It is a super-4 number, since 4×13330441125⁴ (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330441127) 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 47 ways as a sum of consecutive naturals, for example, 68271 + ... + 176979.

It is an arithmetic number, because the mean of its divisors is an integer number (505229725).

Almost surely, 2^13330441125 is an apocalyptic number.

13330441125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13330441125 is a deficient number, since it is larger than the sum of its proper divisors (10920585675).

13330441125 is a wasteful number, since it uses less digits than its factorization.

13330441125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108839 (or 108826 counting only the distinct ones).

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

Adding to 13330441125 its reverse (52114403331), we get a palindrome (65444844456).

The spelling of 13330441125 in words is "thirteen billion, three hundred thirty million, four hundred forty-one thousand, one hundred twenty-five".