13220100120 has 64 divisors (see below), whose sum is σ = 39694821120. Its totient is φ = 3522291584.

The previous prime is 13220100119. The next prime is 13220100137. The reversal of 13220100120 is 2100102231.

13220100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13220100096 and 13220100105.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 92197 + ... + 186923.

It is an arithmetic number, because the mean of its divisors is an integer number (620231580).

Almost surely, 2^13220100120 is an apocalyptic number.

13220100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13220100120 is an abundant number, since it is smaller than the sum of its proper divisors (26474721000).

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

13220100120 is a wasteful number, since it uses less digits than its factorization.

13220100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95904 (or 95900 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13220100120 its reverse (2100102231), we get a palindrome (15320202351).

The spelling of 13220100120 in words is "thirteen billion, two hundred twenty million, one hundred thousand, one hundred twenty".