13110033311320 has 128 divisors (see below), whose sum is σ = 32303796053760. Its totient is φ = 4748843752960.

The previous prime is 13110033311299. The next prime is 13110033311341. The reversal of 13110033311320 is 2311333001131.

It is an interprime number because it is at equal distance from previous prime (13110033311299) and next prime (13110033311341).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13110033311291 and 13110033311300.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 199005027 + ... + 199070893.

It is an arithmetic number, because the mean of its divisors is an integer number (252373406670).

Almost surely, 2^{13110033311320} is an apocalyptic number.

13110033311320 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 13110033311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16151898026880).

13110033311320 is an abundant number, since it is smaller than the sum of its proper divisors (19193762742440).

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

13110033311320 is a wasteful number, since it uses less digits than its factorization.

13110033311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67633 (or 67629 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13110033311320 its reverse (2311333001131), we get a palindrome (15421366312451).

The spelling of 13110033311320 in words is "thirteen trillion, one hundred ten billion, thirty-three million, three hundred eleven thousand, three hundred twenty".