820014113 has 2 divisors, whose sum is σ = 820014114. Its totient is φ = 820014112.

The previous prime is 820014109. The next prime is 820014127. The reversal of 820014113 is 311410028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 669412129 + 150601984 = 25873^2 + 12272^2 .

It is a cyclic number.

It is not a de Polignac number, because 820014113 - 2² = 820014109 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (820014133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410007056 + 410007057.

It is an arithmetic number, because the mean of its divisors is an integer number (410007057).

Almost surely, 2^820014113 is an apocalyptic number.

It is an amenable number.

820014113 is a deficient number, since it is larger than the sum of its proper divisors (1).

820014113 is an equidigital number, since it uses as much as digits as its factorization.

820014113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 820014113 is about 28635.8885491615. Note that the first 3 decimals coincide. The cubic root of 820014113 is about 935.9955320513.

The spelling of 820014113 in words is "eight hundred twenty million, fourteen thousand, one hundred thirteen".