1111132311111 has 144 divisors (see below), whose sum is σ = 1798935360768. Its totient is φ = 658285056000.

The previous prime is 1111132311089. The next prime is 1111132311139.

It is a happy number.

1111132311111 is a `hidden beast` number, since 1 + 111 + 132 + 311 + 111 = 666.

1111132311111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1111132311111 - 2¹⁵ = 1111132278343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111132311011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1121222826 + ... + 1121223816.

It is an arithmetic number, because the mean of its divisors is an integer number (12492606672).

Almost surely, 2^{1111132311111} is an apocalyptic number.

1111132311111 is a deficient number, since it is larger than the sum of its proper divisors (687803049657).

1111132311111 is a wasteful number, since it uses less digits than its factorization.

1111132311111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1202 counting only the distinct ones).

The product of its digits is 18, while the sum is 18.

The spelling of 1111132311111 in words is "one trillion, one hundred eleven billion, one hundred thirty-two million, three hundred eleven thousand, one hundred eleven".