242212332210013 has 12 divisors (see below), whose sum is σ = 266373439329564. Its totient is φ = 220077198968000.

The previous prime is 242212332209987. The next prime is 242212332210059. The reversal of 242212332210013 is 310012233212242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36266928973209 + 205945403236804 = 6022203^2 + 14350798^2 .

It is a de Polignac number, because none of the positive numbers 2^k-242212332210013 is a prime.

It is a super-2 number, since 2×242212332210013² (a number of 30 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 (242212332210113) 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, 526270456 + ... + 526730497.

It is an arithmetic number, because the mean of its divisors is an integer number (22197786610797).

Almost surely, 2^{242212332210013} is an apocalyptic number.

It is an amenable number.

242212332210013 is a deficient number, since it is larger than the sum of its proper divisors (24161107119551).

242212332210013 is a wasteful number, since it uses less digits than its factorization.

242212332210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053002876 (or 1053002865 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 242212332210013 its reverse (310012233212242), we get a palindrome (552224565422255).

The spelling of 242212332210013 in words is "two hundred forty-two trillion, two hundred twelve billion, three hundred thirty-two million, two hundred ten thousand, thirteen".