213333010013 has 16 divisors (see below), whose sum is σ = 231227986176. Its totient is φ = 196035786240.

The previous prime is 213333010001. The next prime is 213333010091. The reversal of 213333010013 is 310010333312.

It is a cyclic number.

It is not a de Polignac number, because 213333010013 - 2⁴ = 213333009997 is a prime.

It is a super-2 number, since 2×213333010013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213333010313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1801553 + ... + 1916313.

It is an arithmetic number, because the mean of its divisors is an integer number (14451749136).

Almost surely, 2^213333010013 is an apocalyptic number.

It is an amenable number.

213333010013 is a deficient number, since it is larger than the sum of its proper divisors (17894976163).

213333010013 is a wasteful number, since it uses less digits than its factorization.

213333010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117364.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 213333010013 its reverse (310010333312), we get a palindrome (523343343325).

The spelling of 213333010013 in words is "two hundred thirteen billion, three hundred thirty-three million, ten thousand, thirteen".