313221242122313 has 32 divisors (see below), whose sum is σ = 365536391721984. Its totient is φ = 262852618309632.

The previous prime is 313221242122279. The next prime is 313221242122343.

313221242122313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313221242122313 - 2¹⁸ = 313221241860169 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 313221242122313.

It is not an unprimeable number, because it can be changed into a prime (313221242122343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1716970481 + ... + 1717152897.

It is an arithmetic number, because the mean of its divisors is an integer number (11423012241312).

Almost surely, 2^{313221242122313} is an apocalyptic number.

It is an amenable number.

313221242122313 is a deficient number, since it is larger than the sum of its proper divisors (52315149599671).

313221242122313 is a wasteful number, since it uses less digits than its factorization.

313221242122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207161.

The product of its digits is 20736, while the sum is 32.

The spelling of 313221242122313 in words is "three hundred thirteen trillion, two hundred twenty-one billion, two hundred forty-two million, one hundred twenty-two thousand, three hundred thirteen".