1333233020 has 96 divisors (see below), whose sum is σ = 3330367488. Its totient is φ = 438826752.

The previous prime is 1333232969. The next prime is 1333233023. The reversal of 1333233020 is 203323331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1333232983 and 1333233001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333233023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346829 + ... + 350651.

It is an arithmetic number, because the mean of its divisors is an integer number (34691328).

Almost surely, 2^1333233020 is an apocalyptic number.

1333233020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665183744).

1333233020 is an abundant number, since it is smaller than the sum of its proper divisors (1997134468).

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

1333233020 is a wasteful number, since it uses less digits than its factorization.

1333233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 1333233020 is about 36513.4635442873. The cubic root of 1333233020 is about 1100.6148133286.

Adding to 1333233020 its reverse (203323331), we get a palindrome (1536556351).

The spelling of 1333233020 in words is "one billion, three hundred thirty-three million, two hundred thirty-three thousand, twenty".