13033033 has 12 divisors (see below), whose sum is σ = 14914060. Its totient is φ = 11319552.

The previous prime is 13033003. The next prime is 13033049. The reversal of 13033033 is 33033031.

It can be written as a sum of positive squares in 6 ways, for example, as 558009 + 12475024 = 747^2 + 3532^2 .

It is not a de Polignac number, because 13033033 - 2⁵ = 13033001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13032998 and 13033016.

It is not an unprimeable number, because it can be changed into a prime (13033003) 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 11 ways as a sum of consecutive naturals, for example, 2023 + ... + 5491.

Almost surely, 2^13033033 is an apocalyptic number.

13033033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13033033 is a deficient number, since it is larger than the sum of its proper divisors (1881027).

13033033 is a wasteful number, since it uses less digits than its factorization.

13033033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 16.

The square root of 13033033 is about 3610.1292220639. The cubic root of 13033033 is about 235.3324583710.

Adding to 13033033 its reverse (33033031), we get a palindrome (46066064).

The spelling of 13033033 in words is "thirteen million, thirty-three thousand, thirty-three".