1001303312000 has 128 divisors (see below), whose sum is σ = 2550211307280. Its totient is φ = 390752256000.

The previous prime is 1001303311993. The next prime is 1001303312011. The reversal of 1001303312000 is 2133031001.

It can be written as a sum of positive squares in 8 ways, for example, as 113019681856 + 888283630144 = 336184^2 + 942488^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107189 + ... + 1419188.

Almost surely, 2^{1001303312000} is an apocalyptic number.

1001303312000 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 1001303312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275105653640).

1001303312000 is an abundant number, since it is smaller than the sum of its proper divisors (1548907995280).

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

1001303312000 is an equidigital number, since it uses as much as digits as its factorization.

1001303312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526447 (or 1526425 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1001303312000 its reverse (2133031001), we get a palindrome (1003436343001).

The spelling of 1001303312000 in words is "one trillion, one billion, three hundred three million, three hundred twelve thousand".