13312322134440 has 384 divisors, whose sum is σ = 47749009075200. Its totient is φ = 2958337105920.

The previous prime is 13312322134393. The next prime is 13312322134457. The reversal of 13312322134440 is 4443122321331.

It is a super-2 number, since 2×13312322134440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 296076681 + ... + 296121639.

It is an arithmetic number, because the mean of its divisors is an integer number (124346377800).

Almost surely, 2^{13312322134440} is an apocalyptic number.

13312322134440 is a gapful number since it is divisible by the number (10) 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 13312322134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23874504537600).

13312322134440 is an abundant number, since it is smaller than the sum of its proper divisors (34436686940760).

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

13312322134440 is a wasteful number, since it uses less digits than its factorization.

13312322134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46385 (or 46374 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 13312322134440 its reverse (4443122321331), we get a palindrome (17755444455771).

The spelling of 13312322134440 in words is "thirteen trillion, three hundred twelve billion, three hundred twenty-two million, one hundred thirty-four thousand, four hundred forty".