213314122213313 has 8 divisors (see below), whose sum is σ = 235010338065216. Its totient is φ = 192001910182000.

The previous prime is 213314122213271. The next prime is 213314122213333. The reversal of 213314122213313 is 313312221413312.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213314122213313 - 2⁸ = 213314122213057 is a prime.

It is a super-3 number, since 3×213314122213313³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213314122213313.

It is not an unprimeable number, because it can be changed into a prime (213314122213333) 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, 96000953981 + ... + 96000956202.

It is an arithmetic number, because the mean of its divisors is an integer number (29376292258152).

Almost surely, 2^{213314122213313} is an apocalyptic number.

It is an amenable number.

213314122213313 is a deficient number, since it is larger than the sum of its proper divisors (21696215851903).

213314122213313 is a wasteful number, since it uses less digits than its factorization.

213314122213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192001910295.

The product of its digits is 15552, while the sum is 32.

Adding to 213314122213313 its reverse (313312221413312), we get a palindrome (526626343626625).

The spelling of 213314122213313 in words is "two hundred thirteen trillion, three hundred fourteen billion, one hundred twenty-two million, two hundred thirteen thousand, three hundred thirteen".