312431301 has 36 divisors (see below), whose sum is σ = 565362252. Its totient is φ = 164795904.

The previous prime is 312431291. The next prime is 312431359. The reversal of 312431301 is 103134213.

It can be written as a sum of positive squares in 2 ways, for example, as 77422401 + 235008900 = 8799^2 + 15330^2 .

It is not a de Polignac number, because 312431301 - 2¹⁰ = 312430277 is a prime.

It is a super-2 number, since 2×312431301² = 195226635689105202, which contains 22 as substring.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312431381) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21516 + ... + 32981.

It is an arithmetic number, because the mean of its divisors is an integer number (15704507).

Almost surely, 2^312431301 is an apocalyptic number.

It is an amenable number.

312431301 is a deficient number, since it is larger than the sum of its proper divisors (252930951).

312431301 is a wasteful number, since it uses less digits than its factorization.

312431301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54530 (or 54520 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 312431301 is about 17675.7263217102. The cubic root of 312431301 is about 678.5546730974.

Adding to 312431301 its reverse (103134213), we get a palindrome (415565514).

The spelling of 312431301 in words is "three hundred twelve million, four hundred thirty-one thousand, three hundred one".