213328780196841 has 27 divisors (see below), whose sum is σ = 313279809233157. Its totient is φ = 139885972025760.

The previous prime is 213328780196803. The next prime is 213328780196887. The reversal of 213328780196841 is 148691087823312.

The square root of 213328780196841 is 14605779.

It is a perfect power (a square), and thus also a powerful number.

213328780196841 is a `hidden beast` number, since 2 + 1 + 3 + 328 + 7 + 80 + 196 + 8 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 790169877225 + 212538610319616 = 888915^2 + 14578704^2 .

It is not a de Polignac number, because 213328780196841 - 2⁴¹ = 211129756941289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213328780196341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2672817651 + ... + 2672897463.

Almost surely, 2^{213328780196841} is an apocalyptic number.

213328780196841 is the 14605779-th square number.

213328780196841 is the 7302890-th centered octagonal number.

It is an amenable number.

213328780196841 is a deficient number, since it is larger than the sum of its proper divisors (99951029036316).

213328780196841 is an frugal number, since it uses more digits than its factorization.

213328780196841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159754 (or 79877 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 213328780196841 in words is "two hundred thirteen trillion, three hundred twenty-eight billion, seven hundred eighty million, one hundred ninety-six thousand, eight hundred forty-one".