13311311300001 has 192 divisors, whose sum is σ = 24257540186880. Its totient is φ = 6913836933120.

The previous prime is 13311311299997. The next prime is 13311311300117. The reversal of 13311311300001 is 10000311311331.

13311311300001 is a `hidden beast` number, since 1 + 331 + 1 + 31 + 1 + 300 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 13311311300001 - 2² = 13311311299997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13311311300201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 280232085 + ... + 280279581.

It is an arithmetic number, because the mean of its divisors is an integer number (126341355140).

Almost surely, 2^{13311311300001} is an apocalyptic number.

13311311300001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13311311300001 is a deficient number, since it is larger than the sum of its proper divisors (10946228886879).

13311311300001 is a wasteful number, since it uses less digits than its factorization.

13311311300001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47776 (or 47773 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13311311300001 its reverse (10000311311331), we get a palindrome (23311622611332).

The spelling of 13311311300001 in words is "thirteen trillion, three hundred eleven billion, three hundred eleven million, three hundred thousand, one".