1331352245200 has 120 divisors (see below), whose sum is σ = 3391498465920. Its totient is φ = 500829465600.

The previous prime is 1331352245141. The next prime is 1331352245231. The reversal of 1331352245200 is 25422531331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401865 + ... + 1680535.

It is an arithmetic number, because the mean of its divisors is an integer number (28262487216).

Almost surely, 2^{1331352245200} is an apocalyptic number.

1331352245200 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 1331352245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695749232960).

1331352245200 is an abundant number, since it is smaller than the sum of its proper divisors (2060146220720).

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

1331352245200 is a wasteful number, since it uses less digits than its factorization.

1331352245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278845 (or 1278834 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 1331352245200 its reverse (25422531331), we get a palindrome (1356774776531).

The spelling of 1331352245200 in words is "one trillion, three hundred thirty-one billion, three hundred fifty-two million, two hundred forty-five thousand, two hundred".