13003111320 has 256 divisors, whose sum is σ = 41762304000. Its totient is φ = 3229632000.

The previous prime is 13003111267. The next prime is 13003111327. The reversal of 13003111320 is 2311130031.

13003111320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13003111320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003111327) 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 63 ways as a sum of consecutive naturals, for example, 61626015 + ... + 61626225.

It is an arithmetic number, because the mean of its divisors is an integer number (163134000).

Almost surely, 2^13003111320 is an apocalyptic number.

13003111320 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 13003111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20881152000).

13003111320 is an abundant number, since it is smaller than the sum of its proper divisors (28759192680).

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

13003111320 is a wasteful number, since it uses less digits than its factorization.

13003111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13003111320 its reverse (2311130031), we get a palindrome (15314241351).

The spelling of 13003111320 in words is "thirteen billion, three million, one hundred eleven thousand, three hundred twenty".