213323013 has 24 divisors (see below), whose sum is σ = 326270880. Its totient is φ = 133932960.

The previous prime is 213322981. The next prime is 213323029. The reversal of 213323013 is 310323312.

It is not a de Polignac number, because 213323013 - 2⁵ = 213322981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213323053) 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 23 ways as a sum of consecutive naturals, for example, 25978 + ... + 33188.

It is an arithmetic number, because the mean of its divisors is an integer number (13594620).

Almost surely, 2^213323013 is an apocalyptic number.

It is an amenable number.

213323013 is a deficient number, since it is larger than the sum of its proper divisors (112947867).

213323013 is a wasteful number, since it uses less digits than its factorization.

213323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7409 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213323013 is about 14605.5815700711. The cubic root of 213323013 is about 597.5109973875.

Adding to 213323013 its reverse (310323312), we get a palindrome (523646325).

The spelling of 213323013 in words is "two hundred thirteen million, three hundred twenty-three thousand, thirteen".