13201204105760 has 192 divisors, whose sum is σ = 34556134878720. Its totient is φ = 4725591736320.

The previous prime is 13201204105751. The next prime is 13201204105781. The reversal of 13201204105760 is 6750140210231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46715612 + ... + 46997348.

It is an arithmetic number, because the mean of its divisors is an integer number (179979869160).

Almost surely, 2^{13201204105760} is an apocalyptic number.

13201204105760 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 13201204105760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278067439360).

13201204105760 is an abundant number, since it is smaller than the sum of its proper divisors (21354930772960).

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

13201204105760 is a wasteful number, since it uses less digits than its factorization.

13201204105760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282179 (or 282171 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 13201204105760 its reverse (6750140210231), we get a palindrome (19951344315991).

The spelling of 13201204105760 in words is "thirteen trillion, two hundred one billion, two hundred four million, one hundred five thousand, seven hundred sixty".