1331303233200 has 240 divisors, whose sum is σ = 4311532127616. Its totient is φ = 351113011200.

The previous prime is 1331303233193. The next prime is 1331303233207. The reversal of 1331303233200 is 23323031331.

It is an interprime number because it is at equal distance from previous prime (1331303233193) and next prime (1331303233207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1331303233207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224765439 + ... + 224771361.

Almost surely, 2^{1331303233200} is an apocalyptic number.

1331303233200 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 1331303233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155766063808).

1331303233200 is an abundant number, since it is smaller than the sum of its proper divisors (2980228894416).

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

1331303233200 is a wasteful number, since it uses less digits than its factorization.

1331303233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 1331303233200 its reverse (23323031331), we get a palindrome (1354626264531).

The spelling of 1331303233200 in words is "one trillion, three hundred thirty-one billion, three hundred three million, two hundred thirty-three thousand, two hundred".