13201140134304 has 36 divisors (see below), whose sum is σ = 37540742257746. Its totient is φ = 4400380044672.

The previous prime is 13201140134261. The next prime is 13201140134341. The reversal of 13201140134304 is 40343104110231.

13201140134304 is a `hidden beast` number, since 1 + 3 + 201 + 14 + 0 + 13 + 430 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12144249219600 + 1056890914704 = 3484860^2 + 1028052^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22918645779 + ... + 22918646354.

Almost surely, 2^{13201140134304} is an apocalyptic number.

It is an amenable number.

13201140134304 is an abundant number, since it is smaller than the sum of its proper divisors (24339602123442).

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

13201140134304 is a wasteful number, since it uses less digits than its factorization.

13201140134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45837292149 (or 45837292138 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13201140134304 its reverse (40343104110231), we get a palindrome (53544244244535).

The spelling of 13201140134304 in words is "thirteen trillion, two hundred one billion, one hundred forty million, one hundred thirty-four thousand, three hundred four".