13112013321120 has 384 divisors, whose sum is σ = 47923995119616. Its totient is φ = 2951300284416.

The previous prime is 13112013320983. The next prime is 13112013321157. The reversal of 13112013321120 is 2112331021131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 814250989 + ... + 814267091.

It is an arithmetic number, because the mean of its divisors is an integer number (124802070624).

Almost surely, 2^{13112013321120} is an apocalyptic number.

13112013321120 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 13112013321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23961997559808).

13112013321120 is an abundant number, since it is smaller than the sum of its proper divisors (34811981798496).

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

13112013321120 is a wasteful number, since it uses less digits than its factorization.

13112013321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19812 (or 19804 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13112013321120 its reverse (2112331021131), we get a palindrome (15224344342251).

The spelling of 13112013321120 in words is "thirteen trillion, one hundred twelve billion, thirteen million, three hundred twenty-one thousand, one hundred twenty".