114013432013 has 8 divisors (see below), whose sum is σ = 123075349656. Its totient is φ = 104993179200.

The previous prime is 114013431989. The next prime is 114013432019. The reversal of 114013432013 is 310234310411.

It can be written as a sum of positive squares in 4 ways, for example, as 591316489 + 113422115524 = 24317^2 + 336782^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 114013432013 - 2⁸ = 114013431757 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114013432013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114013432019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10410518 + ... + 10421463.

It is an arithmetic number, because the mean of its divisors is an integer number (15384418707).

Almost surely, 2^114013432013 is an apocalyptic number.

114013432013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114013432013 is a deficient number, since it is larger than the sum of its proper divisors (9061917643).

114013432013 is a wasteful number, since it uses less digits than its factorization.

114013432013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20832415.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 114013432013 its reverse (310234310411), we get a palindrome (424247742424).

The spelling of 114013432013 in words is "one hundred fourteen billion, thirteen million, four hundred thirty-two thousand, thirteen".