22313311331322 has 128 divisors (see below), whose sum is σ = 50760137465856. Its totient is φ = 6479766720000.

The previous prime is 22313311331317. The next prime is 22313311331351.

22313311331322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22313311331322³ (a number of 41 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22313311331322.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51851868 + ... + 52280424.

It is an arithmetic number, because the mean of its divisors is an integer number (396563573952).

Almost surely, 2^{22313311331322} is an apocalyptic number.

22313311331322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22313311331322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25380068732928).

22313311331322 is an abundant number, since it is smaller than the sum of its proper divisors (28446826134534).

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

22313311331322 is a wasteful number, since it uses less digits than its factorization.

22313311331322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428956.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 2231331 and 1331322, that added together give a palindrome (3562653).

The spelling of 22313311331322 in words is "twenty-two trillion, three hundred thirteen billion, three hundred eleven million, three hundred thirty-one thousand, three hundred twenty-two".