13310013012312 has 128 divisors (see below), whose sum is σ = 35389006848000. Its totient is φ = 4159695358080.

The previous prime is 13310013012271. The next prime is 13310013012337. The reversal of 13310013012312 is 21321031001331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 74072737 + ... + 74252207.

It is an arithmetic number, because the mean of its divisors is an integer number (276476616000).

Almost surely, 2^{13310013012312} is an apocalyptic number.

13310013012312 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 13310013012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694503424000).

13310013012312 is an abundant number, since it is smaller than the sum of its proper divisors (22078993835688).

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

13310013012312 is a wasteful number, since it uses less digits than its factorization.

13310013012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181181 (or 181177 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13310013012312 its reverse (21321031001331), we get a palindrome (34631044013643).

The spelling of 13310013012312 in words is "thirteen trillion, three hundred ten billion, thirteen million, twelve thousand, three hundred twelve".