10033013304 has 96 divisors (see below), whose sum is σ = 28146924000. Its totient is φ = 3224745216.

The previous prime is 10033013303. The next prime is 10033013317. The reversal of 10033013304 is 40331033001.

10033013304 is a `hidden beast` number, since 1 + 0 + 0 + 330 + 1 + 330 + 4 = 666.

It is a super-2 number, since 2×10033013304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033013303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1828437 + ... + 1833915.

It is an arithmetic number, because the mean of its divisors is an integer number (293197125).

Almost surely, 2^10033013304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10033013304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14073462000).

10033013304 is an abundant number, since it is smaller than the sum of its proper divisors (18113910696).

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

10033013304 is a wasteful number, since it uses less digits than its factorization.

10033013304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10033013304 its reverse (40331033001), we get a palindrome (50364046305).

The spelling of 10033013304 in words is "ten billion, thirty-three million, thirteen thousand, three hundred four".