10333413313 has 16 divisors (see below), whose sum is σ = 10809018000. Its totient is φ = 9866126592.

The previous prime is 10333413289. The next prime is 10333413319. The reversal of 10333413313 is 31331433301.

10333413313 is digitally balanced in base 3, 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 8 ways, for example, as 1309933249 + 9023480064 = 36193^2 + 94992^2 .

It is a cyclic number.

It is not a de Polignac number, because 10333413313 - 2⁵ = 10333413281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10333413319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1757743 + ... + 1763611.

It is an arithmetic number, because the mean of its divisors is an integer number (675563625).

Almost surely, 2^10333413313 is an apocalyptic number.

It is an amenable number.

10333413313 is a deficient number, since it is larger than the sum of its proper divisors (475604687).

10333413313 is a wasteful number, since it uses less digits than its factorization.

10333413313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 10333413313 its reverse (31331433301), we get a palindrome (41664846614).

The spelling of 10333413313 in words is "ten billion, three hundred thirty-three million, four hundred thirteen thousand, three hundred thirteen".