13122213312 has 112 divisors (see below), whose sum is σ = 37607260320. Its totient is φ = 4014133248.

The previous prime is 13122213271. The next prime is 13122213329. The reversal of 13122213312 is 21331222131.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416614 + ... + 447002.

It is an arithmetic number, because the mean of its divisors is an integer number (335779110).

Almost surely, 2^13122213312 is an apocalyptic number.

13122213312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13122213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18803630160).

13122213312 is an abundant number, since it is smaller than the sum of its proper divisors (24485047008).

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

13122213312 is a wasteful number, since it uses less digits than its factorization.

13122213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30590 (or 30580 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 13122213312 its reverse (21331222131), we get a palindrome (34453435443).

The spelling of 13122213312 in words is "thirteen billion, one hundred twenty-two million, two hundred thirteen thousand, three hundred twelve".