13101812780160 has 1024 divisors, whose sum is σ = 48536587653120. Its totient is φ = 2980999397376.

The previous prime is 13101812780143. The next prime is 13101812780219. The reversal of 13101812780160 is 6108721810131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2038554867 + ... + 2038561293.

It is an arithmetic number, because the mean of its divisors is an integer number (47399011380).

Almost surely, 2^{13101812780160} is an apocalyptic number.

13101812780160 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 13101812780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24268293826560).

13101812780160 is an abundant number, since it is smaller than the sum of its proper divisors (35434774872960).

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

13101812780160 is a wasteful number, since it uses less digits than its factorization.

13101812780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6605 (or 6593 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 39.

The spelling of 13101812780160 in words is "thirteen trillion, one hundred one billion, eight hundred twelve million, seven hundred eighty thousand, one hundred sixty".