203312100312329 has 2 divisors, whose sum is σ = 203312100312330. Its totient is φ = 203312100312328.

The previous prime is 203312100312271. The next prime is 203312100312341. The reversal of 203312100312329 is 923213001213302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131885127015625 + 71426973296704 = 11484125^2 + 8451448^2 .

It is a cyclic number.

It is not a de Polignac number, because 203312100312329 - 2³² = 203307805345033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 203312100312295 and 203312100312304.

It is not a weakly prime, because it can be changed into another prime (203312100302329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101656050156164 + 101656050156165.

It is an arithmetic number, because the mean of its divisors is an integer number (101656050156165).

Almost surely, 2^{203312100312329} is an apocalyptic number.

It is an amenable number.

203312100312329 is a deficient number, since it is larger than the sum of its proper divisors (1).

203312100312329 is an equidigital number, since it uses as much as digits as its factorization.

203312100312329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 203312100312329 in words is "two hundred three trillion, three hundred twelve billion, one hundred million, three hundred twelve thousand, three hundred twenty-nine".