22131333313122 has 64 divisors (see below), whose sum is σ = 51162863099904. Its totient is φ = 6307530589440.

The previous prime is 22131333313097. The next prime is 22131333313247.

22131333313122 is nontrivially palindromic in base 10.

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 22131333313122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5334138 + ... + 8527349.

It is an arithmetic number, because the mean of its divisors is an integer number (799419735936).

Almost surely, 2^{22131333313122} is an apocalyptic number.

22131333313122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22131333313122 is an abundant number, since it is smaller than the sum of its proper divisors (29031529786782).

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

22131333313122 is a wasteful number, since it uses less digits than its factorization.

22131333313122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13862943.

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

It can be divided in two parts, 2213133 and 3313122, that added together give a palindrome (5526255).

The spelling of 22131333313122 in words is "twenty-two trillion, one hundred thirty-one billion, three hundred thirty-three million, three hundred thirteen thousand, one hundred twenty-two".