1331055304000 has 112 divisors (see below), whose sum is σ = 3304840116240. Its totient is φ = 531052185600.

The previous prime is 1331055303961. The next prime is 1331055304003. The reversal of 1331055304000 is 4035501331.

It can be written as a sum of positive squares in 8 ways, for example, as 159430906944 + 1171624397056 = 399288^2 + 1082416^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331055304003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2898142 + ... + 3325858.

Almost surely, 2^{1331055304000} is an apocalyptic number.

1331055304000 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 1331055304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652420058120).

1331055304000 is an abundant number, since it is smaller than the sum of its proper divisors (1973784812240).

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

1331055304000 is an equidigital number, since it uses as much as digits as its factorization.

1331055304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428133 (or 428113 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The spelling of 1331055304000 in words is "one trillion, three hundred thirty-one billion, fifty-five million, three hundred four thousand".