213276845208001 has 9 divisors (see below), whose sum is σ = 213399545539201. Its totient is φ = 213154215411604.

The previous prime is 213276845207989. The next prime is 213276845208023. The reversal of 213276845208001 is 100802548672312.

The square root of 213276845208001 is 14604001.

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

It is not a de Polignac number, because 213276845208001 - 2¹¹ = 213276845205953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213276845208061) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 35911235490 + ... + 35911241428.

Almost surely, 2^{213276845208001} is an apocalyptic number.

213276845208001 is the 14604001-st square number.

213276845208001 is the 7302001-st centered octagonal number.

It is an amenable number.

213276845208001 is a deficient number, since it is larger than the sum of its proper divisors (122700331200).

213276845208001 is an frugal number, since it uses more digits than its factorization.

213276845208001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16796 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 213276845208001 in words is "two hundred thirteen trillion, two hundred seventy-six billion, eight hundred forty-five million, two hundred eight thousand, one".