213213013 has 16 divisors (see below), whose sum is σ = 240186240. Its totient is φ = 187792704.

The previous prime is 213213001. The next prime is 213213019. The reversal of 213213013 is 310312312.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213213013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213213019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191703 + ... + 192811.

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

Almost surely, 2^213213013 is an apocalyptic number.

213213013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

213213013 is a deficient number, since it is larger than the sum of its proper divisors (26973227).

213213013 is a wasteful number, since it uses less digits than its factorization.

213213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 213213013 is about 14601.8154008329. The cubic root of 213213013 is about 597.4082775586.

Adding to 213213013 its reverse (310312312), we get a palindrome (523525325).

The spelling of 213213013 in words is "two hundred thirteen million, two hundred thirteen thousand, thirteen".