1331201233200 has 480 divisors, whose sum is σ = 4731238252800. Its totient is φ = 318571868160.

The previous prime is 1331201233157. The next prime is 1331201233207. The reversal of 1331201233200 is 23321021331.

It is not an unprimeable number, because it can be changed into a prime (1331201233207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35024607 + ... + 35062593.

It is an arithmetic number, because the mean of its divisors is an integer number (9856746360).

Almost surely, 2^{1331201233200} is an apocalyptic number.

1331201233200 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 1331201233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365619126400).

1331201233200 is an abundant number, since it is smaller than the sum of its proper divisors (3400037019600).

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

1331201233200 is a wasteful number, since it uses less digits than its factorization.

1331201233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38109 (or 38098 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1331201233200 its reverse (23321021331), we get a palindrome (1354522254531).

The spelling of 1331201233200 in words is "one trillion, three hundred thirty-one billion, two hundred one million, two hundred thirty-three thousand, two hundred".