821000011120213 has 16 divisors (see below), whose sum is σ = 877952281864320. Its totient is φ = 765013490712576.

The previous prime is 821000011120183. The next prime is 821000011120241. The reversal of 821000011120213 is 312021110000128.

It is a de Polignac number, because none of the positive numbers 2^k-821000011120213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821000011160213) 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 in 15 ways as a sum of consecutive naturals, for example, 51295020 + ... + 65369557.

It is an arithmetic number, because the mean of its divisors is an integer number (54872017616520).

Almost surely, 2^{821000011120213} is an apocalyptic number.

It is an amenable number.

821000011120213 is a deficient number, since it is larger than the sum of its proper divisors (56952270744107).

821000011120213 is a wasteful number, since it uses less digits than its factorization.

821000011120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116668716.

The product of its (nonzero) digits is 192, while the sum is 22.

The spelling of 821000011120213 in words is "eight hundred twenty-one trillion, eleven million, one hundred twenty thousand, two hundred thirteen".