10033113321 has 48 divisors (see below), whose sum is σ = 18509033088. Its totient is φ = 5084870400.

The previous prime is 10033113263. The next prime is 10033113347. The reversal of 10033113321 is 12331133001.

It is a happy number.

10033113321 is a `hidden beast` number, since 1 + 0 + 0 + 331 + 1 + 332 + 1 = 666.

It is not a de Polignac number, because 10033113321 - 2⁶ = 10033113257 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10033113294 and 10033113303.

It is not an unprimeable number, because it can be changed into a prime (10033113361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148146 + ... + 204971.

It is an arithmetic number, because the mean of its divisors is an integer number (385604856).

Almost surely, 2^10033113321 is an apocalyptic number.

10033113321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10033113321 is a deficient number, since it is larger than the sum of its proper divisors (8475919767).

10033113321 is a wasteful number, since it uses less digits than its factorization.

10033113321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353182 (or 353179 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10033113321 its reverse (12331133001), we get a palindrome (22364246322).

The spelling of 10033113321 in words is "ten billion, thirty-three million, one hundred thirteen thousand, three hundred twenty-one".