114431005335131 has 16 divisors (see below), whose sum is σ = 118184425574400. Its totient is φ = 110732651375808.

The previous prime is 114431005335083. The next prime is 114431005335139. The reversal of 114431005335131 is 131533500134411.

It is a cyclic number.

It is not a de Polignac number, because 114431005335131 - 2¹⁸ = 114431005072987 is a prime.

It is a super-2 number, since 2×114431005335131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114431005335091 and 114431005335100.

It is not an unprimeable number, because it can be changed into a prime (114431005335139) 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, 88788566 + ... + 90068148.

It is an arithmetic number, because the mean of its divisors is an integer number (7386526598400).

Almost surely, 2^{114431005335131} is an apocalyptic number.

114431005335131 is a deficient number, since it is larger than the sum of its proper divisors (3753420239269).

114431005335131 is a wasteful number, since it uses less digits than its factorization.

114431005335131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301098.

The product of its (nonzero) digits is 32400, while the sum is 35.

Adding to 114431005335131 its reverse (131533500134411), we get a palindrome (245964505469542).

The spelling of 114431005335131 in words is "one hundred fourteen trillion, four hundred thirty-one billion, five million, three hundred thirty-five thousand, one hundred thirty-one".