11111100113 has 4 divisors (see below), whose sum is σ = 11146151220. Its totient is φ = 11076049008.

The previous prime is 11111100089. The next prime is 11111100137. The reversal of 11111100113 is 31100111111.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31100111111 = 2273 ⋅13682407.

It is an interprime number because it is at equal distance from previous prime (11111100089) and next prime (11111100137).

It can be written as a sum of positive squares in 2 ways, for example, as 3191346064 + 7919754049 = 56492^2 + 88993^2 .

It is a cyclic number.

It is not a de Polignac number, because 11111100113 - 2¹⁰ = 11111099089 is a prime.

It is a super-2 number, since 2×11111100113² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11111100094 and 11111100103.

It is not an unprimeable number, because it can be changed into a prime (11111190113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17525078 + ... + 17525711.

It is an arithmetic number, because the mean of its divisors is an integer number (2786537805).

Almost surely, 2^11111100113 is an apocalyptic number.

It is an amenable number.

11111100113 is a deficient number, since it is larger than the sum of its proper divisors (35051107).

11111100113 is an equidigital number, since it uses as much as digits as its factorization.

11111100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35051106.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 11111100113 its reverse (31100111111), we get a palindrome (42211211224).

The spelling of 11111100113 in words is "eleven billion, one hundred eleven million, one hundred thousand, one hundred thirteen".