101323434414329 has 2 divisors, whose sum is σ = 101323434414330. Its totient is φ = 101323434414328.

The previous prime is 101323434414311. The next prime is 101323434414347. The reversal of 101323434414329 is 923414434323101.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (101323434414311) and next prime (101323434414347).

It can be written as a sum of positive squares in only one way, i.e., 62845890451600 + 38477543962729 = 7927540^2 + 6203027^2 .

It is a cyclic number.

It is not a de Polignac number, because 101323434414329 - 2²⁰ = 101323433365753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101323434414329.

It is not a weakly prime, because it can be changed into another prime (101323434414529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661717207164 + 50661717207165.

It is an arithmetic number, because the mean of its divisors is an integer number (50661717207165).

Almost surely, 2^{101323434414329} is an apocalyptic number.

It is an amenable number.

101323434414329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101323434414329 is an equidigital number, since it uses as much as digits as its factorization.

101323434414329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 101323434414329 in words is "one hundred one trillion, three hundred twenty-three billion, four hundred thirty-four million, four hundred fourteen thousand, three hundred twenty-nine".