213002013 has 32 divisors (see below), whose sum is σ = 336994560. Its totient is φ = 117089280.

The previous prime is 213001991. The next prime is 213002021. The reversal of 213002013 is 310200312.

It is a happy number.

213002013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213002013 - 2⁵ = 213001981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213002013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213002033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241333 + ... + 242213.

It is an arithmetic number, because the mean of its divisors is an integer number (10531080).

Almost surely, 2^213002013 is an apocalyptic number.

It is an amenable number.

213002013 is a deficient number, since it is larger than the sum of its proper divisors (123992547).

213002013 is a wasteful number, since it uses less digits than its factorization.

213002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213002013 is about 14594.5884834071. The cubic root of 213002013 is about 597.2111433261.

Adding to 213002013 its reverse (310200312), we get a palindrome (523202325).

The spelling of 213002013 in words is "two hundred thirteen million, two thousand, thirteen".