13300122414321 has 96 divisors (see below), whose sum is σ = 21398053996800. Its totient is φ = 7944501793536.

The previous prime is 13300122414287. The next prime is 13300122414421. The reversal of 13300122414321 is 12341422100331.

13300122414321 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 1 + 224 + 1 + 432 + 1 = 666.

It is not a de Polignac number, because 13300122414321 - 2¹¹ = 13300122412273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13300122414421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126310731 + ... + 126415983.

It is an arithmetic number, because the mean of its divisors is an integer number (222896395800).

Almost surely, 2^{13300122414321} is an apocalyptic number.

It is an amenable number.

13300122414321 is a deficient number, since it is larger than the sum of its proper divisors (8097931582479).

13300122414321 is a wasteful number, since it uses less digits than its factorization.

13300122414321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105428 (or 105387 counting only the distinct ones).

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

Adding to 13300122414321 its reverse (12341422100331), we get a palindrome (25641544514652).

The spelling of 13300122414321 in words is "thirteen trillion, three hundred billion, one hundred twenty-two million, four hundred fourteen thousand, three hundred twenty-one".