1330131112200 has 432 divisors, whose sum is σ = 5176654900560. Its totient is φ = 303486720000.

The previous prime is 1330131112181. The next prime is 1330131112229. The reversal of 1330131112200 is 22111310331.

1330131112200 is a `hidden beast` number, since 1 + 330 + 1 + 3 + 111 + 220 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5605975 + ... + 5838425.

It is an arithmetic number, because the mean of its divisors is an integer number (11982997455).

Almost surely, 2^{1330131112200} is an apocalyptic number.

1330131112200 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 1330131112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588327450280).

1330131112200 is an abundant number, since it is smaller than the sum of its proper divisors (3846523788360).

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

1330131112200 is a wasteful number, since it uses less digits than its factorization.

1330131112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232518 (or 232489 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1330131112200 its reverse (22111310331), we get a palindrome (1352242422531).

The spelling of 1330131112200 in words is "one trillion, three hundred thirty billion, one hundred thirty-one million, one hundred twelve thousand, two hundred".