11111011111111 has 32 divisors (see below), whose sum is σ = 11536131456000. Its totient is φ = 10696632629760.

The previous prime is 11111011111087. The next prime is 11111011111127. The reversal of 11111011111111 is 11111111011111.

It is a happy number.

It is not a de Polignac number, because 11111011111111 - 2⁹ = 11111011110599 is a prime.

It is a super-2 number, since 2×11111011111111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

11111011111111 is a modest number, since divided by 1111111 gives 1111101 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11111011111091 and 11111011111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111011114111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254625151 + ... + 254668783.

It is an arithmetic number, because the mean of its divisors is an integer number (360504108000).

Almost surely, 2^{11111011111111} is an apocalyptic number.

11111011111111 is a deficient number, since it is larger than the sum of its proper divisors (425120344889).

11111011111111 is a wasteful number, since it uses less digits than its factorization.

11111011111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44239.

The product of its (nonzero) digits is 1, while the sum is 13.

Adding to 11111011111111 its reverse (11111111011111), we get a palindrome (22222122122222).

It can be divided in two parts, 11111011111 and 111, that multiplied together give a palindrome (1233322233321).

The spelling of 11111011111111 in words is "eleven trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, one hundred eleven".