13106068147200 has 1056 divisors, whose sum is σ = 50318537820160. Its totient is φ = 2946701721600.

The previous prime is 13106068147189. The next prime is 13106068147213. The reversal of 13106068147200 is 274186060131.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17880038034 + ... + 17880038766.

Almost surely, 2^{13106068147200} is an apocalyptic number.

13106068147200 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 13106068147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159268910080).

13106068147200 is an abundant number, since it is smaller than the sum of its proper divisors (37212469672960).

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

13106068147200 is a wasteful number, since it uses less digits than its factorization.

13106068147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 13106068147200 in words is "thirteen trillion, one hundred six billion, sixty-eight million, one hundred forty-seven thousand, two hundred".