312145066801 has 2 divisors, whose sum is σ = 312145066802. Its totient is φ = 312145066800.

The previous prime is 312145066799. The next prime is 312145066819. The reversal of 312145066801 is 108660541213.

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., 198046360576 + 114098706225 = 445024^2 + 337785^2 .

It is a cyclic number.

It is not a de Polignac number, because 312145066801 - 2¹ = 312145066799 is a prime.

Together with 312145066799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312145066861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156072533400 + 156072533401.

It is an arithmetic number, because the mean of its divisors is an integer number (156072533401).

Almost surely, 2^312145066801 is an apocalyptic number.

It is an amenable number.

312145066801 is a deficient number, since it is larger than the sum of its proper divisors (1).

312145066801 is an equidigital number, since it uses as much as digits as its factorization.

312145066801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 312145066801 in words is "three hundred twelve billion, one hundred forty-five million, sixty-six thousand, eight hundred one".