13201000120 has 128 divisors (see below), whose sum is σ = 38980569600. Its totient is φ = 3898022400.

The previous prime is 13201000117. The next prime is 13201000237. The reversal of 13201000120 is 2100010231.

13201000120 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 13201000097 and 13201000106.

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 31 ways as a sum of consecutive naturals, for example, 54271 + ... + 171310.

It is an arithmetic number, because the mean of its divisors is an integer number (304535700).

Almost surely, 2^13201000120 is an apocalyptic number.

13201000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201000120 is an abundant number, since it is smaller than the sum of its proper divisors (25779569480).

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

13201000120 is a wasteful number, since it uses less digits than its factorization.

13201000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225629 (or 225625 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 13201000120 its reverse (2100010231), we get a palindrome (15301010351).

The spelling of 13201000120 in words is "thirteen billion, two hundred one million, one hundred twenty", and thus it is an aban number.