13201414042104 has 192 divisors, whose sum is σ = 37917576627840. Its totient is φ = 4144237240320.

The previous prime is 13201414042097. The next prime is 13201414042109. The reversal of 13201414042104 is 40124041410231.

13201414042104 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 41 + 404 + 210 + 4 = 666.

It is a super-2 number, since 2×13201414042104² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201414042109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9476604 + ... + 10780020.

It is an arithmetic number, because the mean of its divisors is an integer number (197487378270).

Almost surely, 2^{13201414042104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13201414042104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18958788313920).

13201414042104 is an abundant number, since it is smaller than the sum of its proper divisors (24716162585736).

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

13201414042104 is a wasteful number, since it uses less digits than its factorization.

13201414042104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303590 (or 1303583 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13201414042104 its reverse (40124041410231), we get a palindrome (53325455452335).

The spelling of 13201414042104 in words is "thirteen trillion, two hundred one billion, four hundred fourteen million, forty-two thousand, one hundred four".