213314413042 has 16 divisors (see below), whose sum is σ = 327817740600. Its totient is φ = 104042498560.

The previous prime is 213314413021. The next prime is 213314413043. The reversal of 213314413042 is 240314413312.

It is a happy number.

213314413042 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 165690516601 + 47623896441 = 407051^2 + 218229^2 .

It is a super-2 number, since 2×213314413042² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213314413042.

It is not an unprimeable number, because it can be changed into a prime (213314413043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494334 + ... + 819142.

Almost surely, 2^213314413042 is an apocalyptic number.

213314413042 is a deficient number, since it is larger than the sum of its proper divisors (114503327558).

213314413042 is a wasteful number, since it uses less digits than its factorization.

213314413042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332861.

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

Adding to 213314413042 its reverse (240314413312), we get a palindrome (453628826354).

The spelling of 213314413042 in words is "two hundred thirteen billion, three hundred fourteen million, four hundred thirteen thousand, forty-two".