313122221313 has 24 divisors (see below), whose sum is σ = 463444513728. Its totient is φ = 187892100000.

The previous prime is 313122221303. The next prime is 313122221339.

313122221313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313122221313 - 2¹² = 313122217217 is a prime.

It is a super-3 number, since 3×313122221313³ (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313122221303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4233613 + ... + 4306938.

It is an arithmetic number, because the mean of its divisors is an integer number (19310188072).

Almost surely, 2^313122221313 is an apocalyptic number.

313122221313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313122221313 is a deficient number, since it is larger than the sum of its proper divisors (150322292415).

313122221313 is a wasteful number, since it uses less digits than its factorization.

313122221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8540677 (or 8540666 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 313122 and 221313, that added together give a palindrome (534435).

The spelling of 313122221313 in words is "three hundred thirteen billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred thirteen".