13328174210112 has 224 divisors, whose sum is σ = 40468794408960. Its totient is φ = 4297021125120.

The previous prime is 13328174210111. The next prime is 13328174210159. The reversal of 13328174210112 is 21101247182331.

13328174210112 is a `hidden beast` number, since 1 + 3 + 328 + 1 + 7 + 4 + 210 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13328174210111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97586223 + ... + 97722705.

Almost surely, 2^{13328174210112} is an apocalyptic number.

13328174210112 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 13328174210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20234397204480).

13328174210112 is an abundant number, since it is smaller than the sum of its proper divisors (27140620198848).

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

13328174210112 is a wasteful number, since it uses less digits than its factorization.

13328174210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138358 (or 138342 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 13328174210112 in words is "thirteen trillion, three hundred twenty-eight billion, one hundred seventy-four million, two hundred ten thousand, one hundred twelve".