131314305 has 32 divisors (see below), whose sum is σ = 214660224. Its totient is φ = 68530176.

The previous prime is 131314289. The next prime is 131314319. The reversal of 131314305 is 503413131.

It is not a de Polignac number, because 131314305 - 2⁴ = 131314289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193627 + ... + 194303.

It is an arithmetic number, because the mean of its divisors is an integer number (6708132).

Almost surely, 2^131314305 is an apocalyptic number.

131314305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131314305 is a deficient number, since it is larger than the sum of its proper divisors (83345919).

131314305 is a wasteful number, since it uses less digits than its factorization.

131314305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 131314305 is about 11459.2453940039. The cubic root of 131314305 is about 508.2811608792.

Adding to 131314305 its reverse (503413131), we get a palindrome (634727436).

The spelling of 131314305 in words is "one hundred thirty-one million, three hundred fourteen thousand, three hundred five".