1000311321113 has 4 divisors (see below), whose sum is σ = 1077258345828. Its totient is φ = 923364296400.

The previous prime is 1000311321071. The next prime is 1000311321131. The reversal of 1000311321113 is 3111231130001.

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 588215370304 + 412095950809 = 766952^2 + 641947^2 .

It is not a de Polignac number, because 1000311321113 - 2³⁶ = 931591844377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000311321091 and 1000311321100.

It is not an unprimeable number, because it can be changed into a prime (1000311321143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38473512338 + ... + 38473512363.

It is an arithmetic number, because the mean of its divisors is an integer number (269314586457).

Almost surely, 2^{1000311321113} is an apocalyptic number.

1000311321113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1000311321113 is a deficient number, since it is larger than the sum of its proper divisors (76947024715).

1000311321113 is an equidigital number, since it uses as much as digits as its factorization.

1000311321113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76947024714.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1000311321113 its reverse (3111231130001), we get a palindrome (4111542451114).

The spelling of 1000311321113 in words is "one trillion, three hundred eleven million, three hundred twenty-one thousand, one hundred thirteen".