10013302102000 has 160 divisors (see below), whose sum is σ = 24545029017600. Its totient is φ = 3950418617600.

The previous prime is 10013302101989. The next prime is 10013302102003. The reversal of 10013302102000 is 20120331001.

10013302102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013302102003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99383649 + ... + 99484351.

It is an arithmetic number, because the mean of its divisors is an integer number (153406431360).

Almost surely, 2^{10013302102000} is an apocalyptic number.

10013302102000 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 10013302102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12272514508800).

10013302102000 is an abundant number, since it is smaller than the sum of its proper divisors (14531726915600).

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

10013302102000 is a wasteful number, since it uses less digits than its factorization.

10013302102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101408 (or 101392 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10013302102000 its reverse (20120331001), we get a palindrome (10033422433001).

The spelling of 10013302102000 in words is "ten trillion, thirteen billion, three hundred two million, one hundred two thousand".