13122110310111 has 48 divisors (see below), whose sum is σ = 21272917499808. Its totient is φ = 7724442009600.

The previous prime is 13122110310061. The next prime is 13122110310161. The reversal of 13122110310111 is 11101301122131.

13122110310111 is a `hidden beast` number, since 1 + 31 + 2 + 211 + 0 + 310 + 111 = 666.

It is an interprime number because it is at equal distance from previous prime (13122110310061) and next prime (13122110310161).

It is not a de Polignac number, because 13122110310111 - 2¹⁴ = 13122110293727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122110310161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 990730 + ... + 5217831.

It is an arithmetic number, because the mean of its divisors is an integer number (443185781246).

Almost surely, 2^{13122110310111} is an apocalyptic number.

13122110310111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13122110310111 is a deficient number, since it is larger than the sum of its proper divisors (8150807189697).

13122110310111 is a wasteful number, since it uses less digits than its factorization.

13122110310111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209192 (or 6209189 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13122110310111 its reverse (11101301122131), we get a palindrome (24223411432242).

The spelling of 13122110310111 in words is "thirteen trillion, one hundred twenty-two billion, one hundred ten million, three hundred ten thousand, one hundred eleven".