312132111001 has 2 divisors, whose sum is σ = 312132111002. Its totient is φ = 312132111000.

The previous prime is 312132110999. The next prime is 312132111013. The reversal of 312132111001 is 100111231213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196093094976 + 116039016025 = 442824^2 + 340645^2 .

It is a cyclic number.

It is not a de Polignac number, because 312132111001 - 2¹ = 312132110999 is a prime.

Together with 312132110999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312132111061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066055500 + 156066055501.

It is an arithmetic number, because the mean of its divisors is an integer number (156066055501).

Almost surely, 2^312132111001 is an apocalyptic number.

It is an amenable number.

312132111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132111001 is an equidigital number, since it uses as much as digits as its factorization.

312132111001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 312132111001 its reverse (100111231213), we get a palindrome (412243342214).

The spelling of 312132111001 in words is "three hundred twelve billion, one hundred thirty-two million, one hundred eleven thousand, one".