1321331200200 has 768 divisors, whose sum is σ = 5051564179200. Its totient is φ = 314772480000.

The previous prime is 1321331200171. The next prime is 1321331200213. The reversal of 1321331200200 is 20021331231.

1321331200200 is a `hidden beast` number, since 132 + 1 + 331 + 2 + 0 + 0 + 200 = 666.

It is a super-2 number, since 2×1321331200200² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1998987870 + ... + 1998988530.

It is an arithmetic number, because the mean of its divisors is an integer number (6577557525).

Almost surely, 2^{1321331200200} is an apocalyptic number.

1321331200200 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 1321331200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525782089600).

1321331200200 is an abundant number, since it is smaller than the sum of its proper divisors (3730232979000).

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

1321331200200 is a wasteful number, since it uses less digits than its factorization.

1321331200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1216 counting only the distinct ones).

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

Adding to 1321331200200 its reverse (20021331231), we get a palindrome (1341352531431).

The spelling of 1321331200200 in words is "one trillion, three hundred twenty-one billion, three hundred thirty-one million, two hundred thousand, two hundred".