13533101340 has 96 divisors (see below), whose sum is σ = 41515358976. Its totient is φ = 3266634240.

The previous prime is 13533101339. The next prime is 13533101347. The reversal of 13533101340 is 4310133531.

13533101340 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 13533101340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13533101347) 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, 109779 + ... + 197781.

It is an arithmetic number, because the mean of its divisors is an integer number (432451656).

Almost surely, 2^13533101340 is an apocalyptic number.

13533101340 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 13533101340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20757679488).

13533101340 is an abundant number, since it is smaller than the sum of its proper divisors (27982257636).

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

13533101340 is a wasteful number, since it uses less digits than its factorization.

13533101340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88259 (or 88257 counting only the distinct ones).

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

Adding to 13533101340 its reverse (4310133531), we get a palindrome (17843234871).

The spelling of 13533101340 in words is "thirteen billion, five hundred thirty-three million, one hundred one thousand, three hundred forty".