10003301333213 has 24 divisors (see below), whose sum is σ = 10823314851000. Its totient is φ = 9213335118848.

The previous prime is 10003301333197. The next prime is 10003301333239. The reversal of 10003301333213 is 31233310330001.

10003301333213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1732598303524 + 8270703029689 = 1316282^2 + 2875883^2 .

It is not a de Polignac number, because 10003301333213 - 2⁴ = 10003301333197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003301335213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411155633 + ... + 411179961.

It is an arithmetic number, because the mean of its divisors is an integer number (450971452125).

Almost surely, 2^{10003301333213} is an apocalyptic number.

It is an amenable number.

10003301333213 is a deficient number, since it is larger than the sum of its proper divisors (820013517787).

10003301333213 is a wasteful number, since it uses less digits than its factorization.

10003301333213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35389 (or 35342 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 10003301333213 its reverse (31233310330001), we get a palindrome (41236611663214).

The spelling of 10003301333213 in words is "ten trillion, three billion, three hundred one million, three hundred thirty-three thousand, two hundred thirteen".