13112121103011 has 48 divisors (see below), whose sum is σ = 22106752312320. Its totient is φ = 7334034019200.

The previous prime is 13112121103009. The next prime is 13112121103013. The reversal of 13112121103011 is 11030112121131.

13112121103011 is a `hidden beast` number, since 1 + 31 + 121 + 211 + 0 + 301 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13112121103009) and next prime (13112121103013).

It is not a de Polignac number, because 13112121103011 - 2¹ = 13112121103009 is a prime.

It is a super-2 number, since 2×13112121103011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13112121103013) 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 47 ways as a sum of consecutive naturals, for example, 6703915 + ... + 8436036.

It is an arithmetic number, because the mean of its divisors is an integer number (460557339840).

Almost surely, 2^{13112121103011} is an apocalyptic number.

13112121103011 is a deficient number, since it is larger than the sum of its proper divisors (8994631209309).

13112121103011 is a wasteful number, since it uses less digits than its factorization.

13112121103011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15140256 (or 15140253 counting only the distinct ones).

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

Adding to 13112121103011 its reverse (11030112121131), we get a palindrome (24142233224142).

The spelling of 13112121103011 in words is "thirteen trillion, one hundred twelve billion, one hundred twenty-one million, one hundred three thousand, eleven".