1001300302320 has 160 divisors (see below), whose sum is σ = 3133154179584. Its totient is φ = 264518784000.

The previous prime is 1001300302267. The next prime is 1001300302333. The reversal of 1001300302320 is 232030031001.

It is a super-2 number, since 2×1001300302320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001300302320.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12125170 + ... + 12207470.

Almost surely, 2^{1001300302320} is an apocalyptic number.

1001300302320 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 1001300302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566577089792).

1001300302320 is an abundant number, since it is smaller than the sum of its proper divisors (2131853877264).

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

1001300302320 is a wasteful number, since it uses less digits than its factorization.

1001300302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82791 (or 82785 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1001300302320 its reverse (232030031001), we get a palindrome (1233330333321).

The spelling of 1001300302320 in words is "one trillion, one billion, three hundred million, three hundred two thousand, three hundred twenty".