13111221031101 has 48 divisors (see below), whose sum is σ = 19362865966080. Its totient is φ = 8547453240480.

The previous prime is 13111221031057. The next prime is 13111221031147. The reversal of 13111221031101 is 10113012211131.

13111221031101 is a `hidden beast` number, since 1 + 31 + 112 + 210 + 311 + 0 + 1 = 666.

It is not a de Polignac number, because 13111221031101 - 2³⁴ = 13094041161917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111221036101) 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, 34177980 + ... + 34559466.

It is an arithmetic number, because the mean of its divisors is an integer number (403393040960).

Almost surely, 2^{13111221031101} is an apocalyptic number.

It is an amenable number.

13111221031101 is a deficient number, since it is larger than the sum of its proper divisors (6251644934979).

13111221031101 is a wasteful number, since it uses less digits than its factorization.

13111221031101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382046 (or 382043 counting only the distinct ones).

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

Adding to 13111221031101 its reverse (10113012211131), we get a palindrome (23224233242232).

The spelling of 13111221031101 in words is "thirteen trillion, one hundred eleven billion, two hundred twenty-one million, thirty-one thousand, one hundred one".