114431342121041 has 16 divisors (see below), whose sum is σ = 125734413295680. Its totient is φ = 103278333337920.

The previous prime is 114431342121023. The next prime is 114431342121067. The reversal of 114431342121041 is 140121243134411.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114431342121041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114431342120989 and 114431342121007.

It is not an unprimeable number, because it can be changed into a prime (114431342121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94091351 + ... + 95299763.

It is an arithmetic number, because the mean of its divisors is an integer number (7858400830980).

Almost surely, 2^{114431342121041} is an apocalyptic number.

114431342121041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114431342121041 is a deficient number, since it is larger than the sum of its proper divisors (11303071174639).

114431342121041 is a wasteful number, since it uses less digits than its factorization.

114431342121041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270496.

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 114431342121041 its reverse (140121243134411), we get a palindrome (254552585255452).

The spelling of 114431342121041 in words is "one hundred fourteen trillion, four hundred thirty-one billion, three hundred forty-two million, one hundred twenty-one thousand, forty-one".