13030020320 has 96 divisors (see below), whose sum is σ = 31567239648. Its totient is φ = 5080578048.

The previous prime is 13030020313. The next prime is 13030020391. The reversal of 13030020320 is 2302003031.

It is a super-2 number, since 2×13030020320² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13030020295 and 13030020304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1326467 + ... + 1336253.

It is an arithmetic number, because the mean of its divisors is an integer number (328825413).

Almost surely, 2^13030020320 is an apocalyptic number.

13030020320 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 13030020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15783619824).

13030020320 is an abundant number, since it is smaller than the sum of its proper divisors (18537219328).

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

13030020320 is a wasteful number, since it uses less digits than its factorization.

13030020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10012 (or 10004 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 13030020320 its reverse (2302003031), we get a palindrome (15332023351).

The spelling of 13030020320 in words is "thirteen billion, thirty million, twenty thousand, three hundred twenty".