312132211001 has 8 divisors (see below), whose sum is σ = 336227990280. Its totient is φ = 288048661632.

The previous prime is 312132210991. The next prime is 312132211021. The reversal of 312132211001 is 100112231213.

It can be written as a sum of positive squares in 4 ways, for example, as 11500417600 + 300631793401 = 107240^2 + 548299^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312132211001 - 2³⁸ = 37254304057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312132211021) 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 7 ways as a sum of consecutive naturals, for example, 3004430 + ... + 3106583.

It is an arithmetic number, because the mean of its divisors is an integer number (42028498785).

Almost surely, 2^312132211001 is an apocalyptic number.

It is an amenable number.

312132211001 is a deficient number, since it is larger than the sum of its proper divisors (24095779279).

312132211001 is a wasteful number, since it uses less digits than its factorization.

312132211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114955.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 312132211001 its reverse (100112231213), we get a palindrome (412244442214).

The spelling of 312132211001 in words is "three hundred twelve billion, one hundred thirty-two million, two hundred eleven thousand, one".