101332113122329 has 2 divisors, whose sum is σ = 101332113122330. Its totient is φ = 101332113122328.

The previous prime is 101332113122311. The next prime is 101332113122363. The reversal of 101332113122329 is 923221311233101.

It is an a-pointer prime, because the next prime (101332113122363) can be obtained adding 101332113122329 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62170149888025 + 39161963234304 = 7884805^2 + 6257952^2 .

It is a cyclic number.

It is not a de Polignac number, because 101332113122329 - 2⁵ = 101332113122297 is a prime.

It is a super-2 number, since 2×101332113122329² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101332113122294 and 101332113122303.

It is not a weakly prime, because it can be changed into another prime (101332113122629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50666056561164 + 50666056561165.

It is an arithmetic number, because the mean of its divisors is an integer number (50666056561165).

Almost surely, 2^{101332113122329} is an apocalyptic number.

It is an amenable number.

101332113122329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101332113122329 is an equidigital number, since it uses as much as digits as its factorization.

101332113122329 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 34.

The spelling of 101332113122329 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred thirteen million, one hundred twenty-two thousand, three hundred twenty-nine".