830013101 has 2 divisors, whose sum is σ = 830013102. Its totient is φ = 830013100.

The previous prime is 830013077. The next prime is 830013103. The reversal of 830013101 is 101310038.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 593653225 + 236359876 = 24365^2 + 15374^2 .

It is a cyclic number.

It is not a de Polignac number, because 830013101 - 2²² = 825818797 is a prime.

Together with 830013103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 830013101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (830013103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 415006550 + 415006551.

It is an arithmetic number, because the mean of its divisors is an integer number (415006551).

Almost surely, 2^830013101 is an apocalyptic number.

It is an amenable number.

830013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

830013101 is an equidigital number, since it uses as much as digits as its factorization.

830013101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 830013101 is about 28809.9479520530. The cubic root of 830013101 is about 939.7845820689.

Adding to 830013101 its reverse (101310038), we get a palindrome (931323139).

The spelling of 830013101 in words is "eight hundred thirty million, thirteen thousand, one hundred one".