312312210313001 has 2 divisors, whose sum is σ = 312312210313002. Its totient is φ = 312312210313000.

The previous prime is 312312210312943. The next prime is 312312210313013. The reversal of 312312210313001 is 100313012213213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 276189465864601 + 36122744448400 = 16618949^2 + 6010220^2 .

It is a cyclic number.

It is not a de Polignac number, because 312312210313001 - 2¹⁸ = 312312210050857 is a prime.

It is a super-4 number, since 4×312312210313001⁴ (a number of 59 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (312312210313091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156156105156500 + 156156105156501.

It is an arithmetic number, because the mean of its divisors is an integer number (156156105156501).

Almost surely, 2^{312312210313001} is an apocalyptic number.

It is an amenable number.

312312210313001 is a deficient number, since it is larger than the sum of its proper divisors (1).

312312210313001 is an equidigital number, since it uses as much as digits as its factorization.

312312210313001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 312312210313001 its reverse (100313012213213), we get a palindrome (412625222526214).

The spelling of 312312210313001 in words is "three hundred twelve trillion, three hundred twelve billion, two hundred ten million, three hundred thirteen thousand, one".