71321344312317 has 64 divisors (see below), whose sum is σ = 108474428620800. Its totient is φ = 41260251581120.

The previous prime is 71321344312313. The next prime is 71321344312319.

71321344312317 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71321344312317 - 2² = 71321344312313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71321344312313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1589169484 + ... + 1589214362.

It is an arithmetic number, because the mean of its divisors is an integer number (1694912947200).

Almost surely, 2^{71321344312317} is an apocalyptic number.

It is an amenable number.

71321344312317 is a deficient number, since it is larger than the sum of its proper divisors (37153084308483).

71321344312317 is a wasteful number, since it uses less digits than its factorization.

71321344312317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49198.

The product of its digits is 254016, while the sum is 42.

The spelling of 71321344312317 in words is "seventy-one trillion, three hundred twenty-one billion, three hundred forty-four million, three hundred twelve thousand, three hundred seventeen".