13034320540038 has 64 divisors (see below), whose sum is σ = 33113445834240. Its totient is φ = 3722920509600.

The previous prime is 13034320539983. The next prime is 13034320540063. The reversal of 13034320540038 is 83004502343031.

13034320540038 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 43 + 205 + 400 + 3 + 8 = 666.

13034320540038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13034320540038³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13034320539984 and 13034320540011.

It is a congruent number.

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, 4217628 + ... + 6622463.

It is an arithmetic number, because the mean of its divisors is an integer number (517397591160).

Almost surely, 2^{13034320540038} is an apocalyptic number.

13034320540038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13034320540038 is an abundant number, since it is smaller than the sum of its proper divisors (20079125294202).

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

13034320540038 is a wasteful number, since it uses less digits than its factorization.

13034320540038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10843290 (or 10843284 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13034320540038 its reverse (83004502343031), we get a palindrome (96038822883069).

The spelling of 13034320540038 in words is "thirteen trillion, thirty-four billion, three hundred twenty million, five hundred forty thousand, thirty-eight".