317027531101 has 16 divisors (see below), whose sum is σ = 324475076016. Its totient is φ = 309657600000.

The previous prime is 317027531057. The next prime is 317027531113. The reversal of 317027531101 is 101135720713.

It can be written as a sum of positive squares in 8 ways, for example, as 12577398201 + 304450132900 = 112149^2 + 551770^2 .

It is a 10-Lehmer number, since φ(317027531101) divides (317027531101-1)¹⁰.

It is a cyclic number.

It is not a de Polignac number, because 317027531101 - 2³⁵ = 282667792733 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 (317027531131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7719261 + ... + 7760221.

It is an arithmetic number, because the mean of its divisors is an integer number (20279692251).

Almost surely, 2^317027531101 is an apocalyptic number.

317027531101 is the 251805-th centered decagonal number.

It is an amenable number.

317027531101 is a deficient number, since it is larger than the sum of its proper divisors (7447544915).

317027531101 is a wasteful number, since it uses less digits than its factorization.

317027531101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41904.

The product of its (nonzero) digits is 4410, while the sum is 31.

The spelling of 317027531101 in words is "three hundred seventeen billion, twenty-seven million, five hundred thirty-one thousand, one hundred one".