10013339890200 has 768 divisors, whose sum is σ = 33510255206400. Its totient is φ = 2468874240000.

The previous prime is 10013339890193. The next prime is 10013339890217. The reversal of 10013339890200 is 209893331001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9367015266 + ... + 9367016334.

It is an arithmetic number, because the mean of its divisors is an integer number (43633144800).

Almost surely, 2^{10013339890200} is an apocalyptic number.

10013339890200 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 10013339890200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16755127603200).

10013339890200 is an abundant number, since it is smaller than the sum of its proper divisors (23496915316200).

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

10013339890200 is a wasteful number, since it uses less digits than its factorization.

10013339890200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 10013339890200 in words is "ten trillion, thirteen billion, three hundred thirty-nine million, eight hundred ninety thousand, two hundred".