13310020404 has 72 divisors (see below), whose sum is σ = 34697262600. Its totient is φ = 4299340800.

The previous prime is 13310020403. The next prime is 13310020447. The reversal of 13310020404 is 40402001331.

13310020404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1165539600 + 12144480804 = 34140^2 + 110202^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310020403) 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 23 ways as a sum of consecutive naturals, for example, 189664 + ... + 250184.

It is an arithmetic number, because the mean of its divisors is an integer number (481906425).

Almost surely, 2^13310020404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310020404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17348631300).

13310020404 is an abundant number, since it is smaller than the sum of its proper divisors (21387242196).

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

13310020404 is a wasteful number, since it uses less digits than its factorization.

13310020404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60721 (or 60716 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13310020404 its reverse (40402001331), we get a palindrome (53712021735).

The spelling of 13310020404 in words is "thirteen billion, three hundred ten million, twenty thousand, four hundred four".