213330363129 has 45 divisors (see below), whose sum is σ = 334188450089. Its totient is φ = 131136117840.

The previous prime is 213330363109. The next prime is 213330363139. The reversal of 213330363129 is 921363033312.

The square root of 213330363129 is 461877.

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

213330363129 is a `hidden beast` number, since 2 + 1 + 3 + 330 + 3 + 6 + 312 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105772601529 + 107557761600 = 325227^2 + 327960^2 .

It is not a de Polignac number, because 213330363129 - 2³³ = 204740428537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213330363093 and 213330363102.

It is not an unprimeable number, because it can be changed into a prime (213330363109) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 234171184 + ... + 234172094.

Almost surely, 2^213330363129 is an apocalyptic number.

213330363129 is the 461877-th square number.

213330363129 is the 230939-th centered octagonal number.

It is an amenable number.

213330363129 is a deficient number, since it is larger than the sum of its proper divisors (120858086960).

213330363129 is an frugal number, since it uses more digits than its factorization.

213330363129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

Multiplying 213330363129 by its sum of digits (36), we get a square (7679893072644 = 2771262²).

The spelling of 213330363129 in words is "two hundred thirteen billion, three hundred thirty million, three hundred sixty-three thousand, one hundred twenty-nine".