13110749212512 has 384 divisors, whose sum is σ = 40840895692800. Its totient is φ = 3603717734400.

The previous prime is 13110749212471. The next prime is 13110749212549. The reversal of 13110749212512 is 21521294701131.

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 63 ways as a sum of consecutive naturals, for example, 6940575664 + ... + 6940577552.

It is an arithmetic number, because the mean of its divisors is an integer number (106356499200).

Almost surely, 2^{13110749212512} is an apocalyptic number.

13110749212512 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 13110749212512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20420447846400).

13110749212512 is an abundant number, since it is smaller than the sum of its proper divisors (27730146480288).

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

13110749212512 is a wasteful number, since it uses less digits than its factorization.

13110749212512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 13110749212512 in words is "thirteen trillion, one hundred ten billion, seven hundred forty-nine million, two hundred twelve thousand, five hundred twelve".