1331303312000 has 128 divisors (see below), whose sum is σ = 3311259194880. Its totient is φ = 532311168000.

The previous prime is 1331303311997. The next prime is 1331303312021. The reversal of 1331303312000 is 2133031331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44256965 + ... + 44287035.

It is an arithmetic number, because the mean of its divisors is an integer number (25869212460).

Almost surely, 2^{1331303312000} is an apocalyptic number.

1331303312000 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 1331303312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655629597440).

1331303312000 is an abundant number, since it is smaller than the sum of its proper divisors (1979955882880).

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

1331303312000 is an equidigital number, since it uses as much as digits as its factorization.

1331303312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32867 (or 32845 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1331303312000 its reverse (2133031331), we get a palindrome (1333436343331).

The spelling of 1331303312000 in words is "one trillion, three hundred thirty-one billion, three hundred three million, three hundred twelve thousand".