1331233200 has 180 divisors, whose sum is σ = 5039876088. Its totient is φ = 322713600.

The previous prime is 1331233181. The next prime is 1331233201. The reversal of 1331233200 is 23321331.

1331233200 is a `hidden beast` number, since 1 + 331 + 2 + 332 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (1331233201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 22792 + ... + 56408.

Almost surely, 2^1331233200 is an apocalyptic number.

1331233200 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 1331233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519938044).

1331233200 is an abundant number, since it is smaller than the sum of its proper divisors (3708642888).

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

1331233200 is a wasteful number, since it uses less digits than its factorization.

1331233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33652 (or 33638 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1331233200 is about 36486.0685741832. The cubic root of 1331233200 is about 1100.0642386727.

Adding to 1331233200 its reverse (23321331), we get a palindrome (1354554531).

It can be divided in two parts, 13 and 31233200, that added together give a palindrome (31233213).

The spelling of 1331233200 in words is "one billion, three hundred thirty-one million, two hundred thirty-three thousand, two hundred".