322003312123127 has 2 divisors, whose sum is σ = 322003312123128. Its totient is φ = 322003312123126.

The previous prime is 322003312123021. The next prime is 322003312123169. The reversal of 322003312123127 is 721321213300223.

It is a strong prime.

It is an emirp because it is prime and its reverse (721321213300223) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 322003312123127 - 2²⁴ = 322003295345911 is a prime.

It is a super-2 number, since 2×322003312123127² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 322003312123093 and 322003312123102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (322003312123177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161001656061563 + 161001656061564.

It is an arithmetic number, because the mean of its divisors is an integer number (161001656061564).

Almost surely, 2^{322003312123127} is an apocalyptic number.

322003312123127 is a deficient number, since it is larger than the sum of its proper divisors (1).

322003312123127 is an equidigital number, since it uses as much as digits as its factorization.

322003312123127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 322003312123127 in words is "three hundred twenty-two trillion, three billion, three hundred twelve million, one hundred twenty-three thousand, one hundred twenty-seven".