10013002032300 has 144 divisors (see below), whose sum is σ = 29456815309824. Its totient is φ = 2625386400000.

The previous prime is 10013002032289. The next prime is 10013002032301. The reversal of 10013002032300 is 323020031001.

It is a super-3 number, since 3×10013002032300³ (a number of 40 digits) contains 333 as substring.

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 10013002032300.

It is not an unprimeable number, because it can be changed into a prime (10013002032301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49877125 + ... + 50077475.

Almost surely, 2^{10013002032300} is an apocalyptic number.

10013002032300 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 10013002032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14728407654912).

10013002032300 is an abundant number, since it is smaller than the sum of its proper divisors (19443813277524).

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

10013002032300 is a wasteful number, since it uses less digits than its factorization.

10013002032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203160 (or 203153 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10013002032300 its reverse (323020031001), we get a palindrome (10336022063301).

The spelling of 10013002032300 in words is "ten trillion, thirteen billion, two million, thirty-two thousand, three hundred".