312132311301821 has 2 divisors, whose sum is σ = 312132311301822. Its totient is φ = 312132311301820.

The previous prime is 312132311301781. The next prime is 312132311301901. The reversal of 312132311301821 is 128103113231213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256524716599321 + 55607594702500 = 16016389^2 + 7457050^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312132311301821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312132311361821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066155650910 + 156066155650911.

It is an arithmetic number, because the mean of its divisors is an integer number (156066155650911).

Almost surely, 2^{312132311301821} is an apocalyptic number.

It is an amenable number.

312132311301821 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132311301821 is an equidigital number, since it uses as much as digits as its factorization.

312132311301821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 312132311301821 in words is "three hundred twelve trillion, one hundred thirty-two billion, three hundred eleven million, three hundred one thousand, eight hundred twenty-one".