213133129 has 16 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 187120000.

The previous prime is 213133117. The next prime is 213133147. The reversal of 213133129 is 921331312.

It is a cyclic number.

It is not a de Polignac number, because 213133129 - 2²⁷ = 78915401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213133159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43212 + ... + 47890.

It is an arithmetic number, because the mean of its divisors is an integer number (15036840).

Almost surely, 2^213133129 is an apocalyptic number.

It is an amenable number.

213133129 is a deficient number, since it is larger than the sum of its proper divisors (27456311).

213133129 is a wasteful number, since it uses less digits than its factorization.

213133129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832.

The product of its digits is 972, while the sum is 25.

The square root of 213133129 is about 14599.0797312707. The cubic root of 213133129 is about 597.3336584042. Note that the first 3 decimals are identical.

It can be divided in two parts, 21313 and 3129, that added together give a palindrome (24442).

The spelling of 213133129 in words is "two hundred thirteen million, one hundred thirty-three thousand, one hundred twenty-nine".