13305333020 has 96 divisors (see below), whose sum is σ = 33819061248. Its totient is φ = 4298291712.

The previous prime is 13305332983. The next prime is 13305333037. The reversal of 13305333020 is 2033350331.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184904 + ... + 246576.

It is an arithmetic number, because the mean of its divisors is an integer number (352281888).

Almost surely, 2^13305333020 is an apocalyptic number.

13305333020 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 13305333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16909530624).

13305333020 is an abundant number, since it is smaller than the sum of its proper divisors (20513728228).

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

13305333020 is a wasteful number, since it uses less digits than its factorization.

13305333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61779 (or 61777 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 23.

Adding to 13305333020 its reverse (2033350331), we get a palindrome (15338683351).

The spelling of 13305333020 in words is "thirteen billion, three hundred five million, three hundred thirty-three thousand, twenty".