33013000 has 32 divisors (see below), whose sum is σ = 77252760. Its totient is φ = 13204800.

The previous prime is 33012983. The next prime is 33013003. The reversal of 33013000 is 31033.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4901796 + 28111204 = 2214^2 + 5302^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (33013003) 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, 15507 + ... + 17506.

Almost surely, 2^33013000 is an apocalyptic number.

It is an amenable number.

33013000 is an abundant number, since it is smaller than the sum of its proper divisors (44239760).

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

33013000 is a wasteful number, since it uses less digits than its factorization.

33013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33034 (or 33020 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 33013000 is about 5745.6940398876. The cubic root of 33013000 is about 320.7955466077.

Adding to 33013000 its reverse (31033), we get a palindrome (33044033).

The spelling of 33013000 in words is "thirty-three million, thirteen thousand".