213812329916329 has 9 divisors (see below), whose sum is σ = 213975097769559. Its totient is φ = 213649685817600.

The previous prime is 213812329916303. The next prime is 213812329916377. The reversal of 213812329916329 is 923619923218312.

The square root of 213812329916329 is 14622323.

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

It can be written as a sum of positive squares in only one way, i.e., 165580971701929 + 48231358214400 = 12867827^2 + 6944880^2 .

It is not a de Polignac number, because 213812329916329 - 2⁴⁵ = 178627957827497 is a prime.

It is a pancake number, because a pancake can be divided into 213812329916329 parts by 20679087 straight cuts.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213812329910329) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22269793129 + ... + 22269802729.

Almost surely, 2^{213812329916329} is an apocalyptic number.

213812329916329 is the 14622323-rd square number.

213812329916329 is the 7311162-nd centered octagonal number.

It is an amenable number.

213812329916329 is a deficient number, since it is larger than the sum of its proper divisors (162767853230).

213812329916329 is an frugal number, since it uses more digits than its factorization.

213812329916329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22248 (or 11124 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 61.

The spelling of 213812329916329 in words is "two hundred thirteen trillion, eight hundred twelve billion, three hundred twenty-nine million, nine hundred sixteen thousand, three hundred twenty-nine".