101322113 has 2 divisors, whose sum is σ = 101322114. Its totient is φ = 101322112.

The previous prime is 101322103. The next prime is 101322163. The reversal of 101322113 is 311223101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61984129 + 39337984 = 7873^2 + 6272^2 .

It is a cyclic number.

It is not a de Polignac number, because 101322113 - 2⁴ = 101322097 is a prime.

It is not a weakly prime, because it can be changed into another prime (101322103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661056 + 50661057.

It is an arithmetic number, because the mean of its divisors is an integer number (50661057).

Almost surely, 2^101322113 is an apocalyptic number.

It is an amenable number.

101322113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101322113 is an equidigital number, since it uses as much as digits as its factorization.

101322113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 101322113 is about 10065.8885847202. Note that the first 3 decimals coincide. The cubic root of 101322113 is about 466.1955024027.

Adding to 101322113 its reverse (311223101), we get a palindrome (412545214).

The spelling of 101322113 in words is "one hundred one million, three hundred twenty-two thousand, one hundred thirteen".