820310604101 has 8 divisors (see below), whose sum is σ = 827691252120. Its totient is φ = 812932083712.

The previous prime is 820310604089. The next prime is 820310604173. The reversal of 820310604101 is 101406013028.

It is a Cunningham number, because it is equal to 905710²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 11661840100 + 808648764001 = 107990^2 + 899249^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820310604101 - 2³⁰ = 819236862277 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820310604181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247781 + ... + 1304613.

It is an arithmetic number, because the mean of its divisors is an integer number (103461406515).

Almost surely, 2^820310604101 is an apocalyptic number.

It is an amenable number.

820310604101 is a deficient number, since it is larger than the sum of its proper divisors (7380648019).

820310604101 is a wasteful number, since it uses less digits than its factorization.

820310604101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063815.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 820310604101 its reverse (101406013028), we get a palindrome (921716617129).

The spelling of 820310604101 in words is "eight hundred twenty billion, three hundred ten million, six hundred four thousand, one hundred one".