13320320121312 has 96 divisors (see below), whose sum is σ = 35308973855232. Its totient is φ = 4396736408064.

The previous prime is 13320320121289. The next prime is 13320320121347. The reversal of 13320320121312 is 21312102302331.

13320320121312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2636838 + ... + 5795994.

It is an arithmetic number, because the mean of its divisors is an integer number (367801810992).

Almost surely, 2^{13320320121312} is an apocalyptic number.

13320320121312 is a gapful number since it is divisible by the number (12) 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 13320320121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17654486927616).

13320320121312 is an abundant number, since it is smaller than the sum of its proper divisors (21988653733920).

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

13320320121312 is a wasteful number, since it uses less digits than its factorization.

13320320121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159600 (or 3159592 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13320320121312 its reverse (21312102302331), we get a palindrome (34632422423643).

The spelling of 13320320121312 in words is "thirteen trillion, three hundred twenty billion, three hundred twenty million, one hundred twenty-one thousand, three hundred twelve".