1330331200 has 168 divisors, whose sum is σ = 3604528224. Its totient is φ = 479232000.

The previous prime is 1330331147. The next prime is 1330331213. The reversal of 1330331200 is 21330331.

It is a super-2 number, since 2×1330331200² = 3539562203386880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2305312 + ... + 2305888.

Almost surely, 2^1330331200 is an apocalyptic number.

1330331200 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 1330331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802264112).

1330331200 is an abundant number, since it is smaller than the sum of its proper divisors (2274197024).

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

1330331200 is a wasteful number, since it uses less digits than its factorization.

1330331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 1330331200 is about 36473.7055973204. The cubic root of 1330331200 is about 1099.8157267078.

Adding to 1330331200 its reverse (21330331), we get a palindrome (1351661531).

The spelling of 1330331200 in words is "one billion, three hundred thirty million, three hundred thirty-one thousand, two hundred".