312000413101021 has 2 divisors, whose sum is σ = 312000413101022. Its totient is φ = 312000413101020.

The previous prime is 312000413101019. The next prime is 312000413101033. The reversal of 312000413101021 is 120101314000213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311642037264996 + 358375836025 = 17653386^2 + 598645^2 .

It is a cyclic number.

It is not a de Polignac number, because 312000413101021 - 2¹ = 312000413101019 is a prime.

Together with 312000413101019, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 312000413101021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312000413101121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000206550510 + 156000206550511.

It is an arithmetic number, because the mean of its divisors is an integer number (156000206550511).

Almost surely, 2^{312000413101021} is an apocalyptic number.

It is an amenable number.

312000413101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

312000413101021 is an equidigital number, since it uses as much as digits as its factorization.

312000413101021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 312000413101021 its reverse (120101314000213), we get a palindrome (432101727101234).

The spelling of 312000413101021 in words is "three hundred twelve trillion, four hundred thirteen million, one hundred one thousand, twenty-one".