1321331200 has 120 divisors (see below), whose sum is σ = 3741626592. Its totient is φ = 452997120.

The previous prime is 1321331191. The next prime is 1321331251. The reversal of 1321331200 is 21331231.

It is a super-2 number, since 2×1321331200² = 3491832280186880000, 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 11 ways as a sum of consecutive naturals, for example, 82227 + ... + 96973.

Almost surely, 2^1321331200 is an apocalyptic number.

1321331200 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 1321331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870813296).

1321331200 is an abundant number, since it is smaller than the sum of its proper divisors (2420295392).

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

1321331200 is an equidigital number, since it uses as much as digits as its factorization.

1321331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14782 (or 14761 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1321331200 is about 36350.1196696792. The cubic root of 1321331200 is about 1097.3299428812.

Adding to 1321331200 its reverse (21331231), we get a palindrome (1342662431).

The spelling of 1321331200 in words is "one billion, three hundred twenty-one million, three hundred thirty-one thousand, two hundred".