10033003213 has 8 divisors (see below), whose sum is σ = 10752173568. Its totient is φ = 9337412304.

The previous prime is 10033003199. The next prime is 10033003229. The reversal of 10033003213 is 31230033001.

10033003213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-10033003213 is a prime.

It is a super-2 number, since 2×10033003213² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033000213) 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 7 ways as a sum of consecutive naturals, for example, 5893981 + ... + 5895682.

It is an arithmetic number, because the mean of its divisors is an integer number (1344021696).

Almost surely, 2^10033003213 is an apocalyptic number.

It is an amenable number.

10033003213 is a deficient number, since it is larger than the sum of its proper divisors (719170355).

10033003213 is a wasteful number, since it uses less digits than its factorization.

10033003213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11789723.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 10033003213 its reverse (31230033001), we get a palindrome (41263036214).

The spelling of 10033003213 in words is "ten billion, thirty-three million, three thousand, two hundred thirteen".