213014959081024 has 21 divisors (see below), whose sum is σ = 422701791122667. Its totient is φ = 106507421160384.

The previous prime is 213014959081007. The next prime is 213014959081051. The reversal of 213014959081024 is 420180959410312.

The square root of 213014959081024 is 14595032.

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

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 115848067 + ... + 117672445.

It is an arithmetic number, because the mean of its divisors is an integer number (20128656720127).

Almost surely, 2^{213014959081024} is an apocalyptic number.

213014959081024 is the 14595032-nd square number.

It is an amenable number.

213014959081024 is a deficient number, since it is larger than the sum of its proper divisors (209686832041643).

213014959081024 is an frugal number, since it uses more digits than its factorization.

213014959081024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648770 (or 1824381 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 213014959081024 in words is "two hundred thirteen trillion, fourteen billion, nine hundred fifty-nine million, eighty-one thousand, twenty-four".