13305252414042 has 160 divisors (see below), whose sum is σ = 31033838937024. Its totient is φ = 4257212256000.

The previous prime is 13305252414029. The next prime is 13305252414073. The reversal of 13305252414042 is 24041425250331.

It is a happy number.

13305252414042 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 5 + 2 + 5 + 241 + 404 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13305252413988 and 13305252414006.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 379579417 + ... + 379614467.

Almost surely, 2^{13305252414042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13305252414042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15516919468512).

13305252414042 is an abundant number, since it is smaller than the sum of its proper divisors (17728586522982).

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

13305252414042 is a wasteful number, since it uses less digits than its factorization.

13305252414042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36026 (or 36017 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 13305252414042 its reverse (24041425250331), we get a palindrome (37346677664373).

The spelling of 13305252414042 in words is "thirteen trillion, three hundred five billion, two hundred fifty-two million, four hundred fourteen thousand, forty-two".