13130220320 has 144 divisors (see below), whose sum is σ = 36406448568. Its totient is φ = 4461649920.

The previous prime is 13130220287. The next prime is 13130220329. The reversal of 13130220320 is 2302203131.

It can be written as a sum of positive squares in 4 ways, for example, as 6107109904 + 7023110416 = 78148^2 + 83804^2 .

It is not an unprimeable number, because it can be changed into a prime (13130220329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878510 + ... + 893330.

Almost surely, 2^13130220320 is an apocalyptic number.

13130220320 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 13130220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203224284).

13130220320 is an abundant number, since it is smaller than the sum of its proper divisors (23276228248).

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

13130220320 is a wasteful number, since it uses less digits than its factorization.

13130220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14963 (or 14948 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13130220320 its reverse (2302203131), we get a palindrome (15432423451).

The spelling of 13130220320 in words is "thirteen billion, one hundred thirty million, two hundred twenty thousand, three hundred twenty".