13220020320 has 192 divisors, whose sum is σ = 45941079744. Its totient is φ = 3174727680.

The previous prime is 13220020309. The next prime is 13220020327. The reversal of 13220020320 is 2302002231.

It is a super-2 number, since 2×13220020320² (a number of 21 digits) contains 22 as substring.

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 13220020320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220020327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230004 + ... + 281676.

It is an arithmetic number, because the mean of its divisors is an integer number (239276457).

Almost surely, 2^13220020320 is an apocalyptic number.

13220020320 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 13220020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22970539872).

13220020320 is an abundant number, since it is smaller than the sum of its proper divisors (32721059424).

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

13220020320 is a wasteful number, since it uses less digits than its factorization.

13220020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51745 (or 51737 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 13220020320 its reverse (2302002231), we get a palindrome (15522022551).

The spelling of 13220020320 in words is "thirteen billion, two hundred twenty million, twenty thousand, three hundred twenty".