312000334304401 has 2 divisors, whose sum is σ = 312000334304402. Its totient is φ = 312000334304400.

The previous prime is 312000334304377. The next prime is 312000334304471. The reversal of 312000334304401 is 104403433000213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187652299493376 + 124348034811025 = 13698624^2 + 11151145^2 .

It is a cyclic number.

It is not a de Polignac number, because 312000334304401 - 2⁴¹ = 309801311048849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312000334304401.

It is not a weakly prime, because it can be changed into another prime (312000334304471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000167152200 + 156000167152201.

It is an arithmetic number, because the mean of its divisors is an integer number (156000167152201).

Almost surely, 2^{312000334304401} is an apocalyptic number.

It is an amenable number.

312000334304401 is a deficient number, since it is larger than the sum of its proper divisors (1).

312000334304401 is an equidigital number, since it uses as much as digits as its factorization.

312000334304401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 312000334304401 its reverse (104403433000213), we get a palindrome (416403767304614).

The spelling of 312000334304401 in words is "three hundred twelve trillion, three hundred thirty-four million, three hundred four thousand, four hundred one".