13311330001101 has 48 divisors (see below), whose sum is σ = 22453983971328. Its totient is φ = 7807231623600.

The previous prime is 13311330001091. The next prime is 13311330001111. The reversal of 13311330001101 is 10110003311331.

13311330001101 is a `hidden beast` number, since 1 + 331 + 1 + 330 + 0 + 0 + 1 + 1 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13311330001091) and next prime (13311330001111).

It is not a de Polignac number, because 13311330001101 - 2⁵ = 13311330001069 is a prime.

It is a super-2 number, since 2×13311330001101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311330001111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80238451 + ... + 80404176.

It is an arithmetic number, because the mean of its divisors is an integer number (467791332736).

Almost surely, 2^{13311330001101} is an apocalyptic number.

13311330001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13311330001101 is a deficient number, since it is larger than the sum of its proper divisors (9142653970227).

13311330001101 is a wasteful number, since it uses less digits than its factorization.

13311330001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160642684 (or 160642672 counting only the distinct ones).

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

Adding to 13311330001101 its reverse (10110003311331), we get a palindrome (23421333312432).

The spelling of 13311330001101 in words is "thirteen trillion, three hundred eleven billion, three hundred thirty million, one thousand, one hundred one".