13130311120320 has 112 divisors (see below), whose sum is σ = 41702555802240. Its totient is φ = 3500255732736.

The previous prime is 13130311120291. The next prime is 13130311120343. The reversal of 13130311120320 is 2302111303131.

It is a happy number.

13130311120320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633019 + ... + 5163461.

Almost surely, 2^{13130311120320} is an apocalyptic number.

13130311120320 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 13130311120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20851277901120).

13130311120320 is an abundant number, since it is smaller than the sum of its proper divisors (28572244681920).

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

13130311120320 is a wasteful number, since it uses less digits than its factorization.

13130311120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4533482 (or 4533472 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13130311120320 its reverse (2302111303131), we get a palindrome (15432422423451).

The spelling of 13130311120320 in words is "thirteen trillion, one hundred thirty billion, three hundred eleven million, one hundred twenty thousand, three hundred twenty".