313100271808101 has 14 divisors (see below), whose sum is σ = 469435661299110. Its totient is φ = 208733514538248.

The previous prime is 313100271808091. The next prime is 313100271808127. The reversal of 313100271808101 is 101808172001313.

It can be written as a sum of positive squares in only one way, i.e., 278886827009025 + 34213444799076 = 16699905^2 + 5849226^2 .

It is a de Polignac number, because none of the positive numbers 2^k-313100271808101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313100271808141) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 214746413406 + ... + 214746414863.

Almost surely, 2^{313100271808101} is an apocalyptic number.

It is an amenable number.

313100271808101 is a deficient number, since it is larger than the sum of its proper divisors (156335389491009).

313100271808101 is an frugal number, since it uses more digits than its factorization.

313100271808101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429492828287 (or 429492828272 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 313100271808101 in words is "three hundred thirteen trillion, one hundred billion, two hundred seventy-one million, eight hundred eight thousand, one hundred one".