33313000 has 64 divisors (see below), whose sum is σ = 89107200. Its totient is φ = 11419200.

The previous prime is 33312977. The next prime is 33313019. The reversal of 33313000 is 31333.

It is a super-2 number, since 2×33313000² = 2219511938000000, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4621 + ... + 9379.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^33313000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44553600).

33313000 is an abundant number, since it is smaller than the sum of its proper divisors (55794200).

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

33313000 is a wasteful number, since it uses less digits than its factorization.

33313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 13.

The square root of 33313000 is about 5771.7415049532. The cubic root of 33313000 is about 321.7643428332.

Adding to 33313000 its reverse (31333), we get a palindrome (33344333).

The spelling of 33313000 in words is "thirty-three million, three hundred thirteen thousand".