1001323311313 has 4 divisors (see below), whose sum is σ = 1078348181428. Its totient is φ = 924298441200.

The previous prime is 1001323311293. The next prime is 1001323311353. The reversal of 1001323311313 is 3131133231001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 670182910609 + 331140400704 = 818647^2 + 575448^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001323311313 - 2⁵ = 1001323311281 is a prime.

It is a super-2 number, since 2×1001323311313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001323311353) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 38512435038 + ... + 38512435063.

It is an arithmetic number, because the mean of its divisors is an integer number (269587045357).

Almost surely, 2^{1001323311313} is an apocalyptic number.

1001323311313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1001323311313 is a deficient number, since it is larger than the sum of its proper divisors (77024870115).

1001323311313 is an equidigital number, since it uses as much as digits as its factorization.

1001323311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77024870114.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1001323311313 its reverse (3131133231001), we get a palindrome (4132456542314).

The spelling of 1001323311313 in words is "one trillion, one billion, three hundred twenty-three million, three hundred eleven thousand, three hundred thirteen".