312000400213009 has 2 divisors, whose sum is σ = 312000400213010. Its totient is φ = 312000400213008.

The previous prime is 312000400213001. The next prime is 312000400213031. The reversal of 312000400213009 is 900312004000213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 262840389796609 + 49160010416400 = 16212353^2 + 7011420^2 .

It is a cyclic number.

It is not a de Polignac number, because 312000400213009 - 2³ = 312000400213001 is a prime.

It is not a weakly prime, because it can be changed into another prime (312000400213001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000200106504 + 156000200106505.

It is an arithmetic number, because the mean of its divisors is an integer number (156000200106505).

Almost surely, 2^{312000400213009} is an apocalyptic number.

It is an amenable number.

312000400213009 is a deficient number, since it is larger than the sum of its proper divisors (1).

312000400213009 is an equidigital number, since it uses as much as digits as its factorization.

312000400213009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 312000400213009 in words is "three hundred twelve trillion, four hundred million, two hundred thirteen thousand, nine".