13107865654140 has 192 divisors, whose sum is σ = 38778613665792. Its totient is φ = 3303020851200.

The previous prime is 13107865654139. The next prime is 13107865654157. The reversal of 13107865654140 is 4145656870131.

It is a super-2 number, since 2×13107865654140² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288945060 + ... + 288990420.

It is an arithmetic number, because the mean of its divisors is an integer number (201971946176).

Almost surely, 2^{13107865654140} is an apocalyptic number.

13107865654140 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 13107865654140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19389306832896).

13107865654140 is an abundant number, since it is smaller than the sum of its proper divisors (25670748011652).

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

13107865654140 is a wasteful number, since it uses less digits than its factorization.

13107865654140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49060 (or 49058 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 13107865654140 in words is "thirteen trillion, one hundred seven billion, eight hundred sixty-five million, six hundred fifty-four thousand, one hundred forty".