1001320300311 has 16 divisors (see below), whose sum is σ = 1336561774080. Its totient is φ = 666813026880.

The previous prime is 1001320300307. The next prime is 1001320300349. The reversal of 1001320300311 is 1130030231001.

It is not a de Polignac number, because 1001320300311 - 2² = 1001320300307 is a prime.

It is a super-2 number, since 2×1001320300311² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001320300361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28786816 + ... + 28821578.

It is an arithmetic number, because the mean of its divisors is an integer number (83535110880).

Almost surely, 2^{1001320300311} is an apocalyptic number.

1001320300311 is a deficient number, since it is larger than the sum of its proper divisors (335241473769).

1001320300311 is a wasteful number, since it uses less digits than its factorization.

1001320300311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45046.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1001320300311 its reverse (1130030231001), we get a palindrome (2131350531312).

The spelling of 1001320300311 in words is "one trillion, one billion, three hundred twenty million, three hundred thousand, three hundred eleven".