114116013011 has 16 divisors (see below), whose sum is σ = 153218704128. Its totient is φ = 82081447200.

The previous prime is 114116012951. The next prime is 114116013023. The reversal of 114116013011 is 110310611411.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 114116013011 - 2¹⁸ = 114115750867 is a prime.

It is a super-2 number, since 2×114116013011² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114116013311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57000005 + ... + 57002006.

It is an arithmetic number, because the mean of its divisors is an integer number (9576169008).

Almost surely, 2^114116013011 is an apocalyptic number.

114116013011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114116013011 is a deficient number, since it is larger than the sum of its proper divisors (39102691117).

114116013011 is a wasteful number, since it uses less digits than its factorization.

114116013011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114002042.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 114116013011 its reverse (110310611411), we get a palindrome (224426624422).

The spelling of 114116013011 in words is "one hundred fourteen billion, one hundred sixteen million, thirteen thousand, eleven".