11110000100113 has 2 divisors, whose sum is σ = 11110000100114. Its totient is φ = 11110000100112.

The previous prime is 11110000100063. The next prime is 11110000100117. The reversal of 11110000100113 is 31100100001111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11109535611409 + 464488704 = 3333097^2 + 21552^2 .

It is a cyclic number.

It is not a de Polignac number, because 11110000100113 - 2¹³ = 11110000091921 is a prime.

It is a super-2 number, since 2×11110000100113² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11110000100113.

It is not a weakly prime, because it can be changed into another prime (11110000100117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555000050056 + 5555000050057.

It is an arithmetic number, because the mean of its divisors is an integer number (5555000050057).

Almost surely, 2^{11110000100113} is an apocalyptic number.

It is an amenable number.

11110000100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11110000100113 is an equidigital number, since it uses as much as digits as its factorization.

11110000100113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 11110000100113 its reverse (31100100001111), we get a palindrome (42210100101224).

The spelling of 11110000100113 in words is "eleven trillion, one hundred ten billion, one hundred thousand, one hundred thirteen".