13105324111014 has 64 divisors (see below), whose sum is σ = 30132531633600. Its totient is φ = 4217056494336.

The previous prime is 13105324111007. The next prime is 13105324111021. The reversal of 13105324111014 is 41011142350131.

13105324111014 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 532 + 4 + 1 + 110 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (13105324111007) and next prime (13105324111021).

It is a super-2 number, since 2×13105324111014² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8112402 + ... + 9592794.

It is an arithmetic number, because the mean of its divisors is an integer number (470820806775).

Almost surely, 2^{13105324111014} is an apocalyptic number.

13105324111014 is an abundant number, since it is smaller than the sum of its proper divisors (17027207522586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13105324111014 is a wasteful number, since it uses less digits than its factorization.

13105324111014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486086 (or 1486080 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 13105324111014 its reverse (41011142350131), we get a palindrome (54116466461145).

The spelling of 13105324111014 in words is "thirteen trillion, one hundred five billion, three hundred twenty-four million, one hundred eleven thousand, fourteen".