313322132322 has 48 divisors (see below), whose sum is σ = 718868453472. Its totient is φ = 98287482240.

The previous prime is 313322132303. The next prime is 313322132327. The reversal of 313322132322 is 223231223313.

313322132322 is a `hidden beast` number, since 3 + 1 + 3 + 322 + 13 + 2 + 322 = 666.

It is a super-2 number, since 2×313322132322² (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 (313322132327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3471693 + ... + 3560799.

It is an arithmetic number, because the mean of its divisors is an integer number (14976426114).

Almost surely, 2^313322132322 is an apocalyptic number.

313322132322 is an abundant number, since it is smaller than the sum of its proper divisors (405546321150).

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

313322132322 is a wasteful number, since it uses less digits than its factorization.

313322132322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100623 (or 100620 counting only the distinct ones).

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

Adding to 313322132322 its reverse (223231223313), we get a palindrome (536553355635).

Subtracting from 313322132322 its reverse (223231223313), we obtain a palindrome (90090909009).

The spelling of 313322132322 in words is "three hundred thirteen billion, three hundred twenty-two million, one hundred thirty-two thousand, three hundred twenty-two".