213042513 has 16 divisors (see below), whose sum is σ = 289217600. Its totient is φ = 139461696.

The previous prime is 213042503. The next prime is 213042517. The reversal of 213042513 is 315240312.

It is not a de Polignac number, because 213042513 - 2⁹ = 213042001 is a prime.

It is a super-2 number, since 2×213042513² = 90774224690710338, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213042513.

It is not an unprimeable number, because it can be changed into a prime (213042517) 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, 68631 + ... + 71667.

It is an arithmetic number, because the mean of its divisors is an integer number (18076100).

Almost surely, 2^213042513 is an apocalyptic number.

It is an amenable number.

213042513 is a deficient number, since it is larger than the sum of its proper divisors (76175087).

213042513 is a wasteful number, since it uses less digits than its factorization.

213042513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 213042513 is about 14595.9759180399. The cubic root of 213042513 is about 597.2489919801.

Adding to 213042513 its reverse (315240312), we get a palindrome (528282825).

The spelling of 213042513 in words is "two hundred thirteen million, forty-two thousand, five hundred thirteen".