213123313 has 16 divisors (see below), whose sum is σ = 240186240. Its totient is φ = 187634304.

The previous prime is 213123301. The next prime is 213123319. The reversal of 213123313 is 313321312.

It is not a de Polignac number, because 213123313 - 2¹³ = 213115121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213123319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131653 + ... + 133261.

It is an arithmetic number, because the mean of its divisors is an integer number (15011640).

Almost surely, 2^213123313 is an apocalyptic number.

213123313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

213123313 is a deficient number, since it is larger than the sum of its proper divisors (27062927).

213123313 is a wasteful number, since it uses less digits than its factorization.

213123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088.

The product of its digits is 324, while the sum is 19.

The square root of 213123313 is about 14598.7435418258. The cubic root of 213123313 is about 597.3244880526.

Adding to 213123313 its reverse (313321312), we get a palindrome (526444625).

The spelling of 213123313 in words is "two hundred thirteen million, one hundred twenty-three thousand, three hundred thirteen".