11100013113121 has 2 divisors, whose sum is σ = 11100013113122. Its totient is φ = 11100013113120.

The previous prime is 11100013112983. The next prime is 11100013113157. The reversal of 11100013113121 is 12131131000111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10881494261521 + 218518851600 = 3298711^2 + 467460^2 .

It is a cyclic number.

It is not a de Polignac number, because 11100013113121 - 2¹¹ = 11100013111073 is a prime.

It is a super-3 number, since 3×11100013113121³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11100013113095 and 11100013113104.

It is not a weakly prime, because it can be changed into another prime (11100013114121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550006556560 + 5550006556561.

It is an arithmetic number, because the mean of its divisors is an integer number (5550006556561).

Almost surely, 2^{11100013113121} is an apocalyptic number.

It is an amenable number.

11100013113121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100013113121 is an equidigital number, since it uses as much as digits as its factorization.

11100013113121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 11100013113121 its reverse (12131131000111), we get a palindrome (23231144113232).

The spelling of 11100013113121 in words is "eleven trillion, one hundred billion, thirteen million, one hundred thirteen thousand, one hundred twenty-one".