13310013221120 has 864 divisors, whose sum is σ = 41075601904512. Its totient is φ = 4085760000000.

The previous prime is 13310013221083. The next prime is 13310013221129. The reversal of 13310013221120 is 2112231001331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13310013221092 and 13310013221101.

It is not an unprimeable number, because it can be changed into a prime (13310013221129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17490161540 + ... + 17490162300.

It is an arithmetic number, because the mean of its divisors is an integer number (47541205908).

Almost surely, 2^{13310013221120} is an apocalyptic number.

13310013221120 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 13310013221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20537800952256).

13310013221120 is an abundant number, since it is smaller than the sum of its proper divisors (27765588683392).

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

13310013221120 is a wasteful number, since it uses less digits than its factorization.

13310013221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13310013221120 its reverse (2112231001331), we get a palindrome (15422244222451).

The spelling of 13310013221120 in words is "thirteen trillion, three hundred ten billion, thirteen million, two hundred twenty-one thousand, one hundred twenty".