33133313 has 8 divisors (see below), whose sum is σ = 33842568. Its totient is φ = 32431104.

The previous prime is 33133297. The next prime is 33133337. The reversal of 33133313 is 31333133.

It can be written as a sum of positive squares in 4 ways, for example, as 14531344 + 18601969 = 3812^2 + 4313^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 33133313 - 2⁴ = 33133297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33133393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8345 + ... + 11657.

It is an arithmetic number, because the mean of its divisors is an integer number (4230321).

Almost surely, 2^33133313 is an apocalyptic number.

It is an amenable number.

33133313 is a deficient number, since it is larger than the sum of its proper divisors (709255).

33133313 is a wasteful number, since it uses less digits than its factorization.

33133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523.

The product of its digits is 729, while the sum is 20.

The square root of 33133313 is about 5756.1543585974. The cubic root of 33133313 is about 321.1847779495.

Adding to 33133313 its reverse (31333133), we get a palindrome (64466446).

It can be divided in two parts, 3 and 3133313, that multiplied together give a palindrome (9399939).

The spelling of 33133313 in words is "thirty-three million, one hundred thirty-three thousand, three hundred thirteen".