10013300200100 has 18 divisors (see below), whose sum is σ = 21728861434434. Its totient is φ = 4005320080000.

The previous prime is 10013300200081. The next prime is 10013300200103. The reversal of 10013300200100 is 100200331001.

It can be written as a sum of positive squares in 3 ways, for example, as 2853052053604 + 7160248146496 = 1689098^2 + 2675864^2 .

It is not an unprimeable number, because it can be changed into a prime (10013300200103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50066500901 + ... + 50066501100.

Almost surely, 2^{10013300200100} is an apocalyptic number.

10013300200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013300200100 is an abundant number, since it is smaller than the sum of its proper divisors (11715561234334).

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

10013300200100 is a wasteful number, since it uses less digits than its factorization.

10013300200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100133002015 (or 100133002008 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10013300200100 its reverse (100200331001), we get a palindrome (10113500531101).

The spelling of 10013300200100 in words is "ten trillion, thirteen billion, three hundred million, two hundred thousand, one hundred".