13130143324320 has 384 divisors, whose sum is σ = 45386598233088. Its totient is φ = 3164309913600.

The previous prime is 13130143324279. The next prime is 13130143324349. The reversal of 13130143324320 is 2342334103131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 616920399 + ... + 616941681.

It is an arithmetic number, because the mean of its divisors is an integer number (118194266232).

Almost surely, 2^{13130143324320} is an apocalyptic number.

13130143324320 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 13130143324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22693299116544).

13130143324320 is an abundant number, since it is smaller than the sum of its proper divisors (32256454908768).

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

13130143324320 is a wasteful number, since it uses less digits than its factorization.

13130143324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21996 (or 21988 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 13130143324320 its reverse (2342334103131), we get a palindrome (15472477427451).

The spelling of 13130143324320 in words is "thirteen trillion, one hundred thirty billion, one hundred forty-three million, three hundred twenty-four thousand, three hundred twenty".