213421242124312 has 8 divisors (see below), whose sum is σ = 400164828983100. Its totient is φ = 106710621062152.

The previous prime is 213421242124289. The next prime is 213421242124313.

It is a happy number.

213421242124312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×213421242124312³ (a number of 44 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 (213421242124313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13338827632762 + ... + 13338827632777.

Almost surely, 2^{213421242124312} is an apocalyptic number.

It is an amenable number.

213421242124312 is a deficient number, since it is larger than the sum of its proper divisors (186743586858788).

213421242124312 is a wasteful number, since it uses less digits than its factorization.

213421242124312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26677655265545 (or 26677655265541 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The spelling of 213421242124312 in words is "two hundred thirteen trillion, four hundred twenty-one billion, two hundred forty-two million, one hundred twenty-four thousand, three hundred twelve".