13034135340 has 144 divisors (see below), whose sum is σ = 40715490816. Its totient is φ = 3373056000.

The previous prime is 13034135329. The next prime is 13034135357. The reversal of 13034135340 is 4353143031.

13034135340 is a `hidden beast` number, since 1 + 303 + 4 + 1 + 353 + 4 + 0 = 666.

It is a super-2 number, since 2×13034135340² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1419765 + ... + 1428915.

It is an arithmetic number, because the mean of its divisors is an integer number (282746464).

Almost surely, 2^13034135340 is an apocalyptic number.

13034135340 is a gapful number since it is divisible by the number (10) 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 13034135340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357745408).

13034135340 is an abundant number, since it is smaller than the sum of its proper divisors (27681355476).

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

13034135340 is a wasteful number, since it uses less digits than its factorization.

13034135340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9400 (or 9395 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13034135340 its reverse (4353143031), we get a palindrome (17387278371).

The spelling of 13034135340 in words is "thirteen billion, thirty-four million, one hundred thirty-five thousand, three hundred forty".