13222112313330 has 96 divisors (see below), whose sum is σ = 36682544096640. Its totient is φ = 3294565228800.

The previous prime is 13222112313313. The next prime is 13222112313331. The reversal of 13222112313330 is 3331321122231.

13222112313330 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 1 + 12 + 313 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13222112313294 and 13222112313303.

It is not an unprimeable number, because it can be changed into a prime (13222112313331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52835646 + ... + 53085305.

It is an arithmetic number, because the mean of its divisors is an integer number (382109834340).

Almost surely, 2^{13222112313330} is an apocalyptic number.

13222112313330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13222112313330 is an abundant number, since it is smaller than the sum of its proper divisors (23460431783310).

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

13222112313330 is a wasteful number, since it uses less digits than its factorization.

13222112313330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105921056 (or 105921053 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13222112313330 its reverse (3331321122231), we get a palindrome (16553433435561).

It can be divided in two parts, 132221123 and 13330, that added together give a triangular number (132234453 = T₁₆₂₆₂).

The spelling of 13222112313330 in words is "thirteen trillion, two hundred twenty-two billion, one hundred twelve million, three hundred thirteen thousand, three hundred thirty".