13138110882120 has 384 divisors, whose sum is σ = 48207921638400. Its totient is φ = 2851911014400.

The previous prime is 13138110882053. The next prime is 13138110882151. The reversal of 13138110882120 is 2128801183131.

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 95 ways as a sum of consecutive naturals, for example, 9770185 + ... + 11033255.

It is an arithmetic number, because the mean of its divisors is an integer number (125541462600).

Almost surely, 2^{13138110882120} is an apocalyptic number.

13138110882120 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 13138110882120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24103960819200).

13138110882120 is an abundant number, since it is smaller than the sum of its proper divisors (35069810756280).

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

13138110882120 is a wasteful number, since it uses less digits than its factorization.

13138110882120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263189 (or 1263178 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The spelling of 13138110882120 in words is "thirteen trillion, one hundred thirty-eight billion, one hundred ten million, eight hundred eighty-two thousand, one hundred twenty".