13135041330 has 96 divisors (see below), whose sum is σ = 33892858944. Its totient is φ = 3256740864.

The previous prime is 13135041287. The next prime is 13135041343. The reversal of 13135041330 is 3314053131.

13135041330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13135041330.

It is an unprimeable number.

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, 710484 + ... + 728736.

It is an arithmetic number, because the mean of its divisors is an integer number (353050614).

Almost surely, 2^13135041330 is an apocalyptic number.

13135041330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13135041330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16946429472).

13135041330 is an abundant number, since it is smaller than the sum of its proper divisors (20757817614).

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

13135041330 is a wasteful number, since it uses less digits than its factorization.

13135041330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18380 (or 18363 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 13135041330 its reverse (3314053131), we get a palindrome (16449094461).

The spelling of 13135041330 in words is "thirteen billion, one hundred thirty-five million, forty-one thousand, three hundred thirty".