13000223120 has 20 divisors (see below), whose sum is σ = 30225518940. Its totient is φ = 5200089216.

The previous prime is 13000223083. The next prime is 13000223141. The reversal of 13000223120 is 2132200031.

It is a happy number.

13000223120 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 9500790784 + 3499432336 = 97472^2 + 59156^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13000223095 and 13000223104.

It is an unprimeable number.

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, 81251315 + ... + 81251474.

It is an arithmetic number, because the mean of its divisors is an integer number (1511275947).

Almost surely, 2^13000223120 is an apocalyptic number.

13000223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000223120 is an abundant number, since it is smaller than the sum of its proper divisors (17225295820).

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

13000223120 is a wasteful number, since it uses less digits than its factorization.

13000223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162502802 (or 162502796 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13000223120 its reverse (2132200031), we get a palindrome (15132423151).

The spelling of 13000223120 in words is "thirteen billion, two hundred twenty-three thousand, one hundred twenty".