313122242221313 has 32 divisors (see below), whose sum is σ = 363632750115840. Its totient is φ = 264089467281600.

The previous prime is 313122242221301. The next prime is 313122242221339.

313122242221313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313122242221313 - 2⁴ = 313122242221297 is a prime.

It is a super-3 number, since 3×313122242221313³ (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 313122242221313.

It is not an unprimeable number, because it can be changed into a prime (313122242221213) 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, 2736570818 + ... + 2736685236.

It is an arithmetic number, because the mean of its divisors is an integer number (11363523441120).

Almost surely, 2^{313122242221313} is an apocalyptic number.

It is an amenable number.

313122242221313 is a deficient number, since it is larger than the sum of its proper divisors (50510507894527).

313122242221313 is a wasteful number, since it uses less digits than its factorization.

313122242221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138437.

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

The spelling of 313122242221313 in words is "three hundred thirteen trillion, one hundred twenty-two billion, two hundred forty-two million, two hundred twenty-one thousand, three hundred thirteen".