1331312211200 has 108 divisors (see below), whose sum is σ = 3401503206528. Its totient is φ = 515346585600.

The previous prime is 1331312211161. The next prime is 1331312211223. The reversal of 1331312211200 is 21122131331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3156722 + ... + 3553521.

Almost surely, 2^{1331312211200} is an apocalyptic number.

1331312211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331312211200 is an abundant number, since it is smaller than the sum of its proper divisors (2070190995328).

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

1331312211200 is an equidigital number, since it uses as much as digits as its factorization.

1331312211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6710300 (or 6710281 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1331312211200 its reverse (21122131331), we get a palindrome (1352434342531).

The spelling of 1331312211200 in words is "one trillion, three hundred thirty-one billion, three hundred twelve million, two hundred eleven thousand, two hundred".