313233322122 has 144 divisors (see below), whose sum is σ = 809003052000. Its totient is φ = 87304875840.

The previous prime is 313233322117. The next prime is 313233322123. The reversal of 313233322122 is 221223332313.

313233322122 is a `hidden beast` number, since 3 + 1 + 323 + 3 + 322 + 12 + 2 = 666.

It is a super-2 number, since 2×313233322122² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (313233322123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6794004 + ... + 6839952.

It is an arithmetic number, because the mean of its divisors is an integer number (5618076750).

Almost surely, 2^313233322122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313233322122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404501526000).

313233322122 is an abundant number, since it is smaller than the sum of its proper divisors (495769729878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313233322122 is a wasteful number, since it uses less digits than its factorization.

313233322122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46161 (or 46151 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 313233322122 its reverse (221223332313), we get a palindrome (534456654435).

The spelling of 313233322122 in words is "three hundred thirteen billion, two hundred thirty-three million, three hundred twenty-two thousand, one hundred twenty-two".