23202134310213 has 12 divisors (see below), whose sum is σ = 33890757982380. Its totient is φ = 15294290780736.

The previous prime is 23202134310197. The next prime is 23202134310241. The reversal of 23202134310213 is 31201343120232.

23202134310213 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 2 + 13 + 431 + 0 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13281410830689 + 9920723479524 = 3644367^2 + 3149718^2 .

It is not a de Polignac number, because 23202134310213 - 2⁴ = 23202134310197 is a prime.

It is a super-3 number, since 3×23202134310213³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23202134310713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14483229106 + ... + 14483230707.

It is an arithmetic number, because the mean of its divisors is an integer number (2824229831865).

Almost surely, 2^{23202134310213} is an apocalyptic number.

It is an amenable number.

23202134310213 is a deficient number, since it is larger than the sum of its proper divisors (10688623672167).

23202134310213 is a wasteful number, since it uses less digits than its factorization.

23202134310213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28966459908 (or 28966459905 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23202134310213 its reverse (31201343120232), we get a palindrome (54403477430445).

The spelling of 23202134310213 in words is "twenty-three trillion, two hundred two billion, one hundred thirty-four million, three hundred ten thousand, two hundred thirteen".