711313313117 has 32 divisors (see below), whose sum is σ = 797781312000. Its totient is φ = 628675891200.

The previous prime is 711313313093. The next prime is 711313313129.

711313313117 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-711313313117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (711313313167) 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 31 ways as a sum of consecutive naturals, for example, 53151767 + ... + 53165147.

It is an arithmetic number, because the mean of its divisors is an integer number (24930666000).

Almost surely, 2^711313313117 is an apocalyptic number.

It is an amenable number.

711313313117 is a deficient number, since it is larger than the sum of its proper divisors (86467998883).

711313313117 is a wasteful number, since it uses less digits than its factorization.

711313313117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14117.

The product of its digits is 3969, while the sum is 32.

The spelling of 711313313117 in words is "seven hundred eleven billion, three hundred thirteen million, three hundred thirteen thousand, one hundred seventeen".