312133210210123 has 2 divisors, whose sum is σ = 312133210210124. Its totient is φ = 312133210210122.

The previous prime is 312133210210049. The next prime is 312133210210141. The reversal of 312133210210123 is 321012012331213.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312133210210123 is a prime.

It is not a weakly prime, because it can be changed into another prime (312133210210183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066605105061 + 156066605105062.

It is an arithmetic number, because the mean of its divisors is an integer number (156066605105062).

Almost surely, 2^{312133210210123} is an apocalyptic number.

312133210210123 is a deficient number, since it is larger than the sum of its proper divisors (1).

312133210210123 is an equidigital number, since it uses as much as digits as its factorization.

312133210210123 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.

Adding to 312133210210123 its reverse (321012012331213), we get a palindrome (633145222541336).

The spelling of 312133210210123 in words is "three hundred twelve trillion, one hundred thirty-three billion, two hundred ten million, two hundred ten thousand, one hundred twenty-three".