1001313320313 has 8 divisors (see below), whose sum is σ = 1335571517376. Its totient is φ = 667298668400.

The previous prime is 1001313320303. The next prime is 1001313320323. The reversal of 1001313320313 is 3130233131001.

It is an interprime number because it is at equal distance from previous prime (1001313320303) and next prime (1001313320323).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001313320313 - 2¹⁷ = 1001313189241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001313320313.

It is not an unprimeable number, because it can be changed into a prime (1001313320303) 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 7 ways as a sum of consecutive naturals, for example, 60876693 + ... + 60893138.

It is an arithmetic number, because the mean of its divisors is an integer number (166946439672).

Almost surely, 2^{1001313320313} is an apocalyptic number.

It is an amenable number.

1001313320313 is a deficient number, since it is larger than the sum of its proper divisors (334258197063).

1001313320313 is a wasteful number, since it uses less digits than its factorization.

1001313320313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121772575.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1001313320313 its reverse (3130233131001), we get a palindrome (4131546451314).

The spelling of 1001313320313 in words is "one trillion, one billion, three hundred thirteen million, three hundred twenty thousand, three hundred thirteen".