101331123120173 has 2 divisors, whose sum is σ = 101331123120174. Its totient is φ = 101331123120172.

The previous prime is 101331123120121. The next prime is 101331123120257. The reversal of 101331123120173 is 371021321133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100801660240009 + 529462880164 = 10040003^2 + 727642^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331123120173 - 2¹⁴ = 101331123103789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101331123120113) 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, 50665561560086 + 50665561560087.

It is an arithmetic number, because the mean of its divisors is an integer number (50665561560087).

Almost surely, 2^{101331123120173} is an apocalyptic number.

It is an amenable number.

101331123120173 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331123120173 is an equidigital number, since it uses as much as digits as its factorization.

101331123120173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

Adding to 101331123120173 its reverse (371021321133101), we get a palindrome (472352444253274).

The spelling of 101331123120173 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty-three million, one hundred twenty thousand, one hundred seventy-three".