213242303242312 has 32 divisors (see below), whose sum is σ = 402454020281400. Its totient is φ = 105923268785664.

The previous prime is 213242303242291. The next prime is 213242303242327.

It is a happy number.

213242303242312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 196981617980196 + 16260685262116 = 14035014^2 + 4032454^2 .

It is a super-3 number, since 3×213242303242312³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126513583 + ... + 128188030.

Almost surely, 2^{213242303242312} is an apocalyptic number.

It is an amenable number.

213242303242312 is a deficient number, since it is larger than the sum of its proper divisors (189211717039088).

213242303242312 is a wasteful number, since it uses less digits than its factorization.

213242303242312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254702305 (or 254702301 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 21324230 and 3242312, that added together give a palindrome (24566542).

The spelling of 213242303242312 in words is "two hundred thirteen trillion, two hundred forty-two billion, three hundred three million, two hundred forty-two thousand, three hundred twelve".