1134112114311 has 24 divisors (see below), whose sum is σ = 1669248388080. Its totient is φ = 684390664320.

The previous prime is 1134112114307. The next prime is 1134112114337.

1134112114311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1134112114311 - 2² = 1134112114307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134112114411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6619876 + ... + 6789033.

It is an arithmetic number, because the mean of its divisors is an integer number (69552016170).

Almost surely, 2^{1134112114311} is an apocalyptic number.

1134112114311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1134112114311 is a deficient number, since it is larger than the sum of its proper divisors (535136273769).

1134112114311 is a wasteful number, since it uses less digits than its factorization.

1134112114311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13409167 (or 13409156 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

The spelling of 1134112114311 in words is "one trillion, one hundred thirty-four billion, one hundred twelve million, one hundred fourteen thousand, three hundred eleven".