13002010120 has 64 divisors (see below), whose sum is σ = 31975611840. Its totient is φ = 4718880000.

The previous prime is 13002010067. The next prime is 13002010169. The reversal of 13002010120 is 2101020031.

13002010120 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 = 13002010097 and 13002010106.

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, 201870 + ... + 258370.

It is an arithmetic number, because the mean of its divisors is an integer number (499618935).

Almost surely, 2^13002010120 is an apocalyptic number.

13002010120 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 13002010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15987805920).

13002010120 is an abundant number, since it is smaller than the sum of its proper divisors (18973601720).

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

13002010120 is a wasteful number, since it uses less digits than its factorization.

13002010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57046 (or 57042 counting only the distinct ones).

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

Adding to 13002010120 its reverse (2101020031), we get a palindrome (15103030151).

The spelling of 13002010120 in words is "thirteen billion, two million, ten thousand, one hundred twenty".