13332101114017 has 16 divisors (see below), whose sum is σ = 16176214657152. Its totient is φ = 10726473818880.

The previous prime is 13332101114011. The next prime is 13332101114021. The reversal of 13332101114017 is 71041110123331.

It is a cyclic number.

It is not a de Polignac number, because 13332101114017 - 2⁷ = 13332101113889 is a prime.

It is a super-2 number, since 2×13332101114017² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13332101114011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150135859 + ... + 150224632.

It is an arithmetic number, because the mean of its divisors is an integer number (1011013416072).

Almost surely, 2^{13332101114017} is an apocalyptic number.

13332101114017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13332101114017 is a deficient number, since it is larger than the sum of its proper divisors (2844113543135).

13332101114017 is a wasteful number, since it uses less digits than its factorization.

13332101114017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300360888.

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 13332101114017 its reverse (71041110123331), we get a palindrome (84373211237348).

The spelling of 13332101114017 in words is "thirteen trillion, three hundred thirty-two billion, one hundred one million, one hundred fourteen thousand, seventeen".