10033133213 has 16 divisors (see below), whose sum is σ = 10275722880. Its totient is φ = 9793840896.

The previous prime is 10033133207. The next prime is 10033133233. The reversal of 10033133213 is 31233133001.

10033133213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10033133213 - 2²⁶ = 9966024349 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 (10033133233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3789056 + ... + 3791702.

It is an arithmetic number, because the mean of its divisors is an integer number (642232680).

Almost surely, 2^10033133213 is an apocalyptic number.

It is an amenable number.

10033133213 is a deficient number, since it is larger than the sum of its proper divisors (242589667).

10033133213 is a wasteful number, since it uses less digits than its factorization.

10033133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 10033133213 its reverse (31233133001), we get a palindrome (41266266214).

The spelling of 10033133213 in words is "ten billion, thirty-three million, one hundred thirty-three thousand, two hundred thirteen".