314431101 has 12 divisors (see below), whose sum is σ = 458346460. Its totient is φ = 207696960.

The previous prime is 314430971. The next prime is 314431111. The reversal of 314431101 is 101134413.

It can be written as a sum of positive squares in 2 ways, for example, as 276423876 + 38007225 = 16626^2 + 6165^2 .

It is not a de Polignac number, because 314431101 - 2¹¹ = 314429053 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314431111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159280 + ... + 161241.

Almost surely, 2^314431101 is an apocalyptic number.

It is an amenable number.

314431101 is a deficient number, since it is larger than the sum of its proper divisors (143915359).

314431101 is a wasteful number, since it uses less digits than its factorization.

314431101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320636 (or 320633 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 314431101 is about 17732.2051928123. The cubic root of 314431101 is about 679.9993519313. Note that the first 3 decimals are identical.

Adding to 314431101 its reverse (101134413), we get a palindrome (415565514).

The spelling of 314431101 in words is "three hundred fourteen million, four hundred thirty-one thousand, one hundred one".