1033121304 has 72 divisors (see below), whose sum is σ = 2905653660. Its totient is φ = 344373768.

The previous prime is 1033121303. The next prime is 1033121339. The reversal of 1033121304 is 4031213301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1033121304 is a `hidden beast` number, since 10 + 331 + 21 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033121303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 344373767 + 344373768 + 344373769.

Almost surely, 2^1033121304 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 1033121304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452826830).

1033121304 is an abundant number, since it is smaller than the sum of its proper divisors (1872532356).

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

1033121304 is an frugal number, since it uses more digits than its factorization.

1033121304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1033121304 is about 32142.2044048009. The cubic root of 1033121304 is about 1010.9207380032.

Multiplying 1033121304 by its product of nonzero digits (216), we get a square (223154201664 = 472392²).

1033121304 divided by its product of nonzero digits (216) gives a 14-th power (4782969 = 3¹⁴).

Adding to 1033121304 its reverse (4031213301), we get a palindrome (5064334605).

The spelling of 1033121304 in words is "one billion, thirty-three million, one hundred twenty-one thousand, three hundred four".