821113311128 has 32 divisors (see below), whose sum is σ = 1680207258960. Its totient is φ = 373087255680.

The previous prime is 821113311101. The next prime is 821113311167.

821113311128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 821113311094 and 821113311103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1599551 + ... + 2049582.

Almost surely, 2^821113311128 is an apocalyptic number.

821113311128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

821113311128 is an abundant number, since it is smaller than the sum of its proper divisors (859093947832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

821113311128 is a wasteful number, since it uses less digits than its factorization.

821113311128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651707 (or 3651703 counting only the distinct ones).

The product of its digits is 2304, while the sum is 32.

The spelling of 821113311128 in words is "eight hundred twenty-one billion, one hundred thirteen million, three hundred eleven thousand, one hundred twenty-eight".