13130305533520 has 320 divisors, whose sum is σ = 36483195640320. Its totient is φ = 4301218381824.

The previous prime is 13130305533493. The next prime is 13130305533523. The reversal of 13130305533520 is 2533550303131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130305533523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 430077616 + ... + 430108144.

It is an arithmetic number, because the mean of its divisors is an integer number (114009986376).

Almost surely, 2^{13130305533520} is an apocalyptic number.

13130305533520 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 13130305533520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18241597820160).

13130305533520 is an abundant number, since it is smaller than the sum of its proper divisors (23352890106800).

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

13130305533520 is a wasteful number, since it uses less digits than its factorization.

13130305533520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30982 (or 30976 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 34.

Adding to 13130305533520 its reverse (2533550303131), we get a palindrome (15663855836651).

The spelling of 13130305533520 in words is "thirteen trillion, one hundred thirty billion, three hundred five million, five hundred thirty-three thousand, five hundred twenty".