13002103200120 has 128 divisors (see below), whose sum is σ = 39177954547200. Its totient is φ = 3451993501184.

The previous prime is 13002103200109. The next prime is 13002103200169. The reversal of 13002103200120 is 2100230120031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13002103200120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35646589 + ... + 36009491.

It is an arithmetic number, because the mean of its divisors is an integer number (306077769900).

Almost surely, 2^{13002103200120} is an apocalyptic number.

13002103200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002103200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19588977273600).

13002103200120 is an abundant number, since it is smaller than the sum of its proper divisors (26175851347080).

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

13002103200120 is a wasteful number, since it uses less digits than its factorization.

13002103200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364229 (or 364225 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13002103200120 its reverse (2100230120031), we get a palindrome (15102333320151).

The spelling of 13002103200120 in words is "thirteen trillion, two billion, one hundred three million, two hundred thousand, one hundred twenty".