13411223120 has 20 divisors (see below), whose sum is σ = 31181093940. Its totient is φ = 5364489216.

The previous prime is 13411223113. The next prime is 13411223129. The reversal of 13411223120 is 2132211431.

13411223120 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 2 ways, for example, as 8480936464 + 4930286656 = 92092^2 + 70216^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 = 13411223092 and 13411223101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13411223129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83820065 + ... + 83820224.

It is an arithmetic number, because the mean of its divisors is an integer number (1559054697).

Almost surely, 2^13411223120 is an apocalyptic number.

13411223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13411223120 is an abundant number, since it is smaller than the sum of its proper divisors (17769870820).

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

13411223120 is a wasteful number, since it uses less digits than its factorization.

13411223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167640302 (or 167640296 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13411223120 its reverse (2132211431), we get a palindrome (15543434551).

The spelling of 13411223120 in words is "thirteen billion, four hundred eleven million, two hundred twenty-three thousand, one hundred twenty".