213042013 has 8 divisors (see below), whose sum is σ = 220338176. Its totient is φ = 205772400.

The previous prime is 213042001. The next prime is 213042019. The reversal of 213042013 is 310240312.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213042013 - 2⁵ = 213041981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213042019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10420 + ... + 23122.

It is an arithmetic number, because the mean of its divisors is an integer number (27542272).

Almost surely, 2^213042013 is an apocalyptic number.

It is an amenable number.

213042013 is a deficient number, since it is larger than the sum of its proper divisors (7296163).

213042013 is a wasteful number, since it uses less digits than its factorization.

213042013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13275.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 213042013 is about 14595.9587900213. The cubic root of 213042013 is about 597.2485247420.

Adding to 213042013 its reverse (310240312), we get a palindrome (523282325).

The spelling of 213042013 in words is "two hundred thirteen million, forty-two thousand, thirteen".