11111000012113 has 2 divisors, whose sum is σ = 11111000012114. Its totient is φ = 11111000012112.

The previous prime is 11111000012089. The next prime is 11111000012141. The reversal of 11111000012113 is 31121000011111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8642230014289 + 2468769997824 = 2939767^2 + 1571232^2 .

It is a cyclic number.

It is not a de Polignac number, because 11111000012113 - 2²⁹ = 11110463141201 is a prime.

It is a super-2 number, since 2×11111000012113² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11111000012093 and 11111000012102.

It is not a weakly prime, because it can be changed into another prime (11111000012183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555500006056 + 5555500006057.

It is an arithmetic number, because the mean of its divisors is an integer number (5555500006057).

Almost surely, 2^{11111000012113} is an apocalyptic number.

It is an amenable number.

11111000012113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111000012113 is an equidigital number, since it uses as much as digits as its factorization.

11111000012113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 11111000012113 its reverse (31121000011111), we get a palindrome (42232000023224).

The spelling of 11111000012113 in words is "eleven trillion, one hundred eleven billion, twelve thousand, one hundred thirteen".