312131001 has 48 divisors (see below), whose sum is σ = 529171584. Its totient is φ = 160123392.

The previous prime is 312130979. The next prime is 312131021. The reversal of 312131001 is 100131213.

It is not a de Polignac number, because 312131001 - 2⁵ = 312130969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312131021) 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 47 ways as a sum of consecutive naturals, for example, 130125 + ... + 132501.

It is an arithmetic number, because the mean of its divisors is an integer number (11024408).

Almost surely, 2^312131001 is an apocalyptic number.

It is an amenable number.

312131001 is a deficient number, since it is larger than the sum of its proper divisors (217040583).

312131001 is a wasteful number, since it uses less digits than its factorization.

312131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 312131001 is about 17667.2295790823. The cubic root of 312131001 is about 678.3372009806.

Adding to 312131001 its reverse (100131213), we get a palindrome (412262214).

It can be divided in two parts, 31213 and 1001, that multiplied together give a palindrome (31244213).

The spelling of 312131001 in words is "three hundred twelve million, one hundred thirty-one thousand, one".