13338033 has 16 divisors (see below), whose sum is σ = 18273600. Its totient is φ = 8650304.

The previous prime is 13338011. The next prime is 13338053. The reversal of 13338033 is 33083331.

13338033 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13338033 - 2⁶ = 13337969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13337994 and 13338012.

It is not an unprimeable number, because it can be changed into a prime (13338053) 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, 23410 + ... + 23972.

It is an arithmetic number, because the mean of its divisors is an integer number (1142100).

Almost surely, 2^13338033 is an apocalyptic number.

It is an amenable number.

13338033 is a deficient number, since it is larger than the sum of its proper divisors (4935567).

13338033 is a wasteful number, since it uses less digits than its factorization.

13338033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768.

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 13338033 is about 3652.1271883657. The cubic root of 13338033 is about 237.1540773815.

The spelling of 13338033 in words is "thirteen million, three hundred thirty-eight thousand, thirty-three".