312000133233821 has 2 divisors, whose sum is σ = 312000133233822. Its totient is φ = 312000133233820.

The previous prime is 312000133233791. The next prime is 312000133233823. The reversal of 312000133233821 is 128332331000213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275964856596100 + 36035276637721 = 16612190^2 + 6002939^2 .

It is an emirp because it is prime and its reverse (128332331000213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312000133233821 - 2⁴² = 307602086722717 is a prime.

Together with 312000133233823, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312000133233823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000066616910 + 156000066616911.

It is an arithmetic number, because the mean of its divisors is an integer number (156000066616911).

Almost surely, 2^{312000133233821} is an apocalyptic number.

It is an amenable number.

312000133233821 is a deficient number, since it is larger than the sum of its proper divisors (1).

312000133233821 is an equidigital number, since it uses as much as digits as its factorization.

312000133233821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 312000133233821 in words is "three hundred twelve trillion, one hundred thirty-three million, two hundred thirty-three thousand, eight hundred twenty-one".