114432133321 has 32 divisors (see below), whose sum is σ = 131892710400. Its totient is φ = 98189340480.

The previous prime is 114432133307. The next prime is 114432133351. The reversal of 114432133321 is 123331234411.

It is not a de Polignac number, because 114432133321 - 2¹¹ = 114432131273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114432133321.

It is not an unprimeable number, because it can be changed into a prime (114432133351) 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 31 ways as a sum of consecutive naturals, for example, 118336780 + ... + 118337746.

It is an arithmetic number, because the mean of its divisors is an integer number (4121647200).

Almost surely, 2^114432133321 is an apocalyptic number.

114432133321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114432133321 is a deficient number, since it is larger than the sum of its proper divisors (17460577079).

114432133321 is a wasteful number, since it uses less digits than its factorization.

114432133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509.

The product of its digits is 5184, while the sum is 28.

Adding to 114432133321 its reverse (123331234411), we get a palindrome (237763367732).

The spelling of 114432133321 in words is "one hundred fourteen billion, four hundred thirty-two million, one hundred thirty-three thousand, three hundred twenty-one".