312817608101 has 2 divisors, whose sum is σ = 312817608102. Its totient is φ = 312817608100.

The previous prime is 312817608053. The next prime is 312817608151. The reversal of 312817608101 is 101806718213.

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., 235347235876 + 77470372225 = 485126^2 + 278335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312817608101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312817608151) 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 as a sum of consecutive naturals, namely, 156408804050 + 156408804051.

It is an arithmetic number, because the mean of its divisors is an integer number (156408804051).

Almost surely, 2^312817608101 is an apocalyptic number.

It is an amenable number.

312817608101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312817608101 is an equidigital number, since it uses as much as digits as its factorization.

312817608101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 38.

The spelling of 312817608101 in words is "three hundred twelve billion, eight hundred seventeen million, six hundred eight thousand, one hundred one".