1331223000 has 256 divisors, whose sum is σ = 4353523200. Its totient is φ = 338342400.

The previous prime is 1331222953. The next prime is 1331223001. The reversal of 1331223000 is 3221331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331223001) 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 63 ways as a sum of consecutive naturals, for example, 7436911 + ... + 7437089.

It is an arithmetic number, because the mean of its divisors is an integer number (17005950).

Almost surely, 2^1331223000 is an apocalyptic number.

1331223000 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 1331223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176761600).

1331223000 is an abundant number, since it is smaller than the sum of its proper divisors (3022300200).

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

1331223000 is a wasteful number, since it uses less digits than its factorization.

1331223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1331223000 is about 36485.9287945367. The cubic root of 1331223000 is about 1100.0614290763.

Adding to 1331223000 its reverse (3221331), we get a palindrome (1334444331).

The spelling of 1331223000 in words is "one billion, three hundred thirty-one million, two hundred twenty-three thousand".