13530135304 has 128 divisors (see below), whose sum is σ = 31092768000. Its totient is φ = 5388042240.

The previous prime is 13530135301. The next prime is 13530135323. The reversal of 13530135304 is 40353103531.

13530135304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13530135304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13530135301) 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 31 ways as a sum of consecutive naturals, for example, 38768122 + ... + 38768470.

It is an arithmetic number, because the mean of its divisors is an integer number (242912250).

Almost surely, 2^13530135304 is an apocalyptic number.

13530135304 is a gapful number since it is divisible by the number (14) 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 13530135304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15546384000).

13530135304 is an abundant number, since it is smaller than the sum of its proper divisors (17562632696).

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

13530135304 is a wasteful number, since it uses less digits than its factorization.

13530135304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

Adding to 13530135304 its reverse (40353103531), we get a palindrome (53883238835).

The spelling of 13530135304 in words is "thirteen billion, five hundred thirty million, one hundred thirty-five thousand, three hundred four".