312011010001 has 4 divisors (see below), whose sum is σ = 325576706112. Its totient is φ = 298445313892.

The previous prime is 312011009971. The next prime is 312011010011. The reversal of 312011010001 is 100010110213.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 312011010001 - 2⁹ = 312011009489 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312011010001.

It is not an unprimeable number, because it can be changed into a prime (312011010011) 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 3 ways as a sum of consecutive naturals, for example, 6782848021 + ... + 6782848066.

It is an arithmetic number, because the mean of its divisors is an integer number (81394176528).

Almost surely, 2^312011010001 is an apocalyptic number.

It is an amenable number.

312011010001 is a deficient number, since it is larger than the sum of its proper divisors (13565696111).

312011010001 is a wasteful number, since it uses less digits than its factorization.

312011010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13565696110.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 312011010001 its reverse (100010110213), we get a palindrome (412021120214).

The spelling of 312011010001 in words is "three hundred twelve billion, eleven million, ten thousand, one".