213014434320 has 120 divisors (see below), whose sum is σ = 718444313496. Its totient is φ = 56560011264.

The previous prime is 213014434231. The next prime is 213014434459. The reversal of 213014434320 is 23434410312.

213014434320 is a `hidden beast` number, since 2 + 1 + 301 + 4 + 4 + 34 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12840515856 + 200173918464 = 113316^2 + 447408^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467119 + ... + 802638.

Almost surely, 2^213014434320 is an apocalyptic number.

213014434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213014434320 is an abundant number, since it is smaller than the sum of its proper divisors (505429879176).

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

213014434320 is a wasteful number, since it uses less digits than its factorization.

213014434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270009 (or 1270000 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213014434320 its reverse (23434410312), we get a palindrome (236448844632).

The spelling of 213014434320 in words is "two hundred thirteen billion, fourteen million, four hundred thirty-four thousand, three hundred twenty".