312021110000129 has 2 divisors, whose sum is σ = 312021110000130. Its totient is φ = 312021110000128.

The previous prime is 312021110000101. The next prime is 312021110000189. The reversal of 312021110000129 is 921000011120213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310146510894529 + 1874599105600 = 17610977^2 + 1369160^2 .

It is an emirp because it is prime and its reverse (921000011120213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312021110000129 - 2⁴⁴ = 294428923955713 is a prime.

It is not a weakly prime, because it can be changed into another prime (312021110000189) 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, 156010555000064 + 156010555000065.

It is an arithmetic number, because the mean of its divisors is an integer number (156010555000065).

Almost surely, 2^{312021110000129} is an apocalyptic number.

It is an amenable number.

312021110000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

312021110000129 is an equidigital number, since it uses as much as digits as its factorization.

312021110000129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 312021110000129 in words is "three hundred twelve trillion, twenty-one billion, one hundred ten million, one hundred twenty-nine", and thus it is an aban number.