13035430368 has 144 divisors (see below), whose sum is σ = 37486665216. Its totient is φ = 4296499200.

The previous prime is 13035430363. The next prime is 13035430379. The reversal of 13035430368 is 86303453031.

13035430368 is a `hidden beast` number, since 130 + 35 + 430 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13035430363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21689268 + ... + 21689868.

It is an arithmetic number, because the mean of its divisors is an integer number (260324064).

Almost surely, 2^13035430368 is an apocalyptic number.

13035430368 is a gapful number since it is divisible by the number (18) 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 13035430368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18743332608).

13035430368 is an abundant number, since it is smaller than the sum of its proper divisors (24451234848).

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

13035430368 is a wasteful number, since it uses less digits than its factorization.

13035430368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 13035430368 its reverse (86303453031), we get a palindrome (99338883399).

The spelling of 13035430368 in words is "thirteen billion, thirty-five million, four hundred thirty thousand, three hundred sixty-eight".