1008105311327 has 8 divisors (see below), whose sum is σ = 1082027619936. Its totient is φ = 935807668992.

The previous prime is 1008105311299. The next prime is 1008105311371. The reversal of 1008105311327 is 7231135018001.

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 1008105311327 - 2²⁰ = 1008104262751 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1008105311293 and 1008105311302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008105317327) 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, 406165283 + ... + 406167764.

It is an arithmetic number, because the mean of its divisors is an integer number (135253452492).

Almost surely, 2^{1008105311327} is an apocalyptic number.

1008105311327 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1008105311327 is a deficient number, since it is larger than the sum of its proper divisors (73922308609).

1008105311327 is an equidigital number, since it uses as much as digits as its factorization.

1008105311327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812333137.

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 1008105311327 in words is "one trillion, eight billion, one hundred five million, three hundred eleven thousand, three hundred twenty-seven".