67313205352321 has 8 divisors (see below), whose sum is σ = 71516359834920. Its totient is φ = 63235518167808.

The previous prime is 67313205352301. The next prime is 67313205352363. The reversal of 67313205352321 is 12325350231376.

67313205352321 is digitally balanced in base 2, because in such base 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 35244644358400 + 32068560993921 = 5936720^2 + 5662911^2 .

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 67313205352321 - 2¹³ = 67313205344129 is a prime.

It is a super-2 number, since 2×67313205352321² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67313205352301) 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 7 ways as a sum of consecutive naturals, for example, 31366823416 + ... + 31366825561.

It is an arithmetic number, because the mean of its divisors is an integer number (8939544979365).

Almost surely, 2^{67313205352321} is an apocalyptic number.

It is an amenable number.

67313205352321 is a deficient number, since it is larger than the sum of its proper divisors (4203154482599).

67313205352321 is a wasteful number, since it uses less digits than its factorization.

67313205352321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62733649043.

The product of its (nonzero) digits is 680400, while the sum is 43.

Adding to 67313205352321 its reverse (12325350231376), we get a palindrome (79638555583697).

The spelling of 67313205352321 in words is "sixty-seven trillion, three hundred thirteen billion, two hundred five million, three hundred fifty-two thousand, three hundred twenty-one".