312101312001 has 16 divisors (see below), whose sum is σ = 425268729600. Its totient is φ = 203549044608.

The previous prime is 312101311997. The next prime is 312101312027. The reversal of 312101312001 is 100213101213.

It is a happy number.

It is not a de Polignac number, because 312101312001 - 2² = 312101311997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312101312041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6014916 + ... + 6066581.

It is an arithmetic number, because the mean of its divisors is an integer number (26579295600).

Almost surely, 2^312101312001 is an apocalyptic number.

It is an amenable number.

312101312001 is a deficient number, since it is larger than the sum of its proper divisors (113167417599).

312101312001 is a wasteful number, since it uses less digits than its factorization.

312101312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12081688.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 312101312001 its reverse (100213101213), we get a palindrome (412314413214).

The spelling of 312101312001 in words is "three hundred twelve billion, one hundred one million, three hundred twelve thousand, one".