13112330047968 has 96 divisors (see below), whose sum is σ = 34837976880000. Its totient is φ = 4317693610496.

The previous prime is 13112330047967. The next prime is 13112330048003. The reversal of 13112330047968 is 86974003321131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×13112330047968³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112330047967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87166483 + ... + 87316781.

It is an arithmetic number, because the mean of its divisors is an integer number (362895592500).

Almost surely, 2^{13112330047968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112330047968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418988440000).

13112330047968 is an abundant number, since it is smaller than the sum of its proper divisors (21725646832032).

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

13112330047968 is a wasteful number, since it uses less digits than its factorization.

13112330047968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161344 (or 161336 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 13112330047968 in words is "thirteen trillion, one hundred twelve billion, three hundred thirty million, forty-seven thousand, nine hundred sixty-eight".