1000331311313 has 4 divisors (see below), whose sum is σ = 1001408095140. Its totient is φ = 999254527488.

The previous prime is 1000331311303. The next prime is 1000331311363. The reversal of 1000331311313 is 3131131330001.

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 455764060609 + 544567250704 = 675103^2 + 737948^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000331311313 - 2⁶ = 1000331311249 is a prime.

It is a super-2 number, since 2×1000331311313² (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 (1000331311303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 538390520 + ... + 538392377.

It is an arithmetic number, because the mean of its divisors is an integer number (250352023785).

Almost surely, 2^{1000331311313} is an apocalyptic number.

It is an amenable number.

1000331311313 is a deficient number, since it is larger than the sum of its proper divisors (1076783827).

1000331311313 is an equidigital number, since it uses as much as digits as its factorization.

1000331311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076783826.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 1000331311313 its reverse (3131131330001), we get a palindrome (4131462641314).

The spelling of 1000331311313 in words is "one trillion, three hundred thirty-one million, three hundred eleven thousand, three hundred thirteen".