11145105311101 has 16 divisors (see below), whose sum is σ = 11560308981760. Its totient is φ = 10737271424880.

The previous prime is 11145105311077. The next prime is 11145105311141. The reversal of 11145105311101 is 10111350154111.

It is a cyclic number.

It is not a de Polignac number, because 11145105311101 - 2²⁵ = 11145071756669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11145105311141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1711096 + ... + 5021758.

It is an arithmetic number, because the mean of its divisors is an integer number (722519311360).

Almost surely, 2^{11145105311101} is an apocalyptic number.

It is an amenable number.

11145105311101 is a deficient number, since it is larger than the sum of its proper divisors (415203670659).

11145105311101 is an equidigital number, since it uses as much as digits as its factorization.

11145105311101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311776.

The product of its (nonzero) digits is 300, while the sum is 25.

Adding to 11145105311101 its reverse (10111350154111), we get a palindrome (21256455465212).

The spelling of 11145105311101 in words is "eleven trillion, one hundred forty-five billion, one hundred five million, three hundred eleven thousand, one hundred one".