13200114304305 has 24 divisors (see below), whose sum is σ = 22881098680128. Its totient is φ = 7039783869216.

The previous prime is 13200114304277. The next prime is 13200114304397. The reversal of 13200114304305 is 50340341100231.

It is a happy number.

13200114304305 is a `hidden beast` number, since 1 + 320 + 0 + 1 + 1 + 4 + 30 + 4 + 305 = 666.

It is not a de Polignac number, because 13200114304305 - 2⁸ = 13200114304049 is a prime.

It is a super-3 number, since 3×13200114304305³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4614207 + ... + 6905876.

It is an arithmetic number, because the mean of its divisors is an integer number (953379111672).

Almost surely, 2^{13200114304305} is an apocalyptic number.

13200114304305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13200114304305 is a deficient number, since it is larger than the sum of its proper divisors (9680984375823).

13200114304305 is a wasteful number, since it uses less digits than its factorization.

13200114304305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11545557 (or 11545554 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13200114304305 its reverse (50340341100231), we get a palindrome (63540455404536).

The spelling of 13200114304305 in words is "thirteen trillion, two hundred billion, one hundred fourteen million, three hundred four thousand, three hundred five".