13101667848801 has 128 divisors (see below), whose sum is σ = 22804130119680. Its totient is φ = 7278273792000.

The previous prime is 13101667848793. The next prime is 13101667848817. The reversal of 13101667848801 is 10884876610131.

13101667848801 is a `hidden beast` number, since 1 + 31 + 0 + 1 + 66 + 78 + 488 + 0 + 1 = 666.

It is not a de Polignac number, because 13101667848801 - 2³ = 13101667848793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13101667848821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4421756146 + ... + 4421759108.

It is an arithmetic number, because the mean of its divisors is an integer number (178157266560).

Almost surely, 2^{13101667848801} is an apocalyptic number.

It is an amenable number.

13101667848801 is a deficient number, since it is larger than the sum of its proper divisors (9702462270879).

13101667848801 is a wasteful number, since it uses less digits than its factorization.

13101667848801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 13101667848801 in words is "thirteen trillion, one hundred one billion, six hundred sixty-seven million, eight hundred forty-eight thousand, eight hundred one".