33013020 has 48 divisors (see below), whose sum is σ = 95628960. Its totient is φ = 8499456.

The previous prime is 33013007. The next prime is 33013021. The reversal of 33013020 is 2031033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 33012987 and 33013005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33013021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7747 + ... + 11226.

It is an arithmetic number, because the mean of its divisors is an integer number (1992270).

Almost surely, 2^33013020 is an apocalyptic number.

33013020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33013020 is an abundant number, since it is smaller than the sum of its proper divisors (62615940).

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

33013020 is a wasteful number, since it uses less digits than its factorization.

33013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19014 (or 19012 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 33013020 is about 5745.6957803211. The cubic root of 33013020 is about 320.7956113893.

Adding to 33013020 its reverse (2031033), we get a palindrome (35044053).

The spelling of 33013020 in words is "thirty-three million, thirteen thousand, twenty".