13110013223120 has 120 divisors (see below), whose sum is σ = 33835390099560. Its totient is φ = 4720076416000.

The previous prime is 13110013223113. The next prime is 13110013223141. The reversal of 13110013223120 is 2132231001131.

It is a happy number.

13110013223120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6174290675344 + 6935722547776 = 2484812^2 + 2633576^2 .

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 = 13110013223092 and 13110013223101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5726975 + ... + 7682334.

It is an arithmetic number, because the mean of its divisors is an integer number (281961584163).

Almost surely, 2^{13110013223120} is an apocalyptic number.

13110013223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110013223120 is an abundant number, since it is smaller than the sum of its proper divisors (20725376876440).

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

13110013223120 is a wasteful number, since it uses less digits than its factorization.

13110013223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13409445 (or 13409428 counting only the distinct ones).

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

Adding to 13110013223120 its reverse (2132231001131), we get a palindrome (15242244224251).

The spelling of 13110013223120 in words is "thirteen trillion, one hundred ten billion, thirteen million, two hundred twenty-three thousand, one hundred twenty".