820112211631 has 2 divisors, whose sum is σ = 820112211632. Its totient is φ = 820112211630.

The previous prime is 820112211601. The next prime is 820112211637. The reversal of 820112211631 is 136112211028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 820112211631 - 2²⁷ = 819977993903 is a prime.

It is a super-2 number, since 2×820112211631² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 820112211631.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820112211637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410056105815 + 410056105816.

It is an arithmetic number, because the mean of its divisors is an integer number (410056105816).

Almost surely, 2^820112211631 is an apocalyptic number.

820112211631 is a deficient number, since it is larger than the sum of its proper divisors (1).

820112211631 is an equidigital number, since it uses as much as digits as its factorization.

820112211631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 820112211631 its reverse (136112211028), we get a palindrome (956224422659).

The spelling of 820112211631 in words is "eight hundred twenty billion, one hundred twelve million, two hundred eleven thousand, six hundred thirty-one".