13100003313111 has 128 divisors (see below), whose sum is σ = 24341043041280. Its totient is φ = 6897570577920.

The previous prime is 13100003313101. The next prime is 13100003313113. The reversal of 13100003313111 is 11131330000131.

13100003313111 is a `hidden beast` number, since 13 + 10 + 0 + 0 + 0 + 331 + 311 + 1 = 666.

It is not a de Polignac number, because 13100003313111 - 2¹⁹ = 13100002788823 is a prime.

It is a super-2 number, since 2×13100003313111² (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 (13100003313113) 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 127 ways as a sum of consecutive naturals, for example, 7117356 + ... + 8766798.

It is an arithmetic number, because the mean of its divisors is an integer number (190164398760).

Almost surely, 2^{13100003313111} is an apocalyptic number.

13100003313111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13100003313111 is a deficient number, since it is larger than the sum of its proper divisors (11241039728169).

13100003313111 is a wasteful number, since it uses less digits than its factorization.

13100003313111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649515 (or 1649487 counting only the distinct ones).

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

Adding to 13100003313111 its reverse (11131330000131), we get a palindrome (24231333313242).

The spelling of 13100003313111 in words is "thirteen trillion, one hundred billion, three million, three hundred thirteen thousand, one hundred eleven".