12033434113 has 16 divisors (see below), whose sum is σ = 12703770576. Its totient is φ = 11383234560.

The previous prime is 12033434093. The next prime is 12033434197. The reversal of 12033434113 is 31143433021.

12033434113 = 77567² + 77568².

It can be written as a sum of positive squares in 8 ways, for example, as 577585089 + 11455849024 = 24033^2 + 107032^2 .

It is a cyclic number.

It is not a de Polignac number, because 12033434113 - 2²⁵ = 11999879681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12033432113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430945 + ... + 458017.

It is an arithmetic number, because the mean of its divisors is an integer number (793985661).

Almost surely, 2^12033434113 is an apocalyptic number.

12033434113 is the 77568-th centered square number.

It is an amenable number.

12033434113 is a deficient number, since it is larger than the sum of its proper divisors (670336463).

12033434113 is a wasteful number, since it uses less digits than its factorization.

12033434113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27444.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 12033434113 its reverse (31143433021), we get a palindrome (43176867134).

The spelling of 12033434113 in words is "twelve billion, thirty-three million, four hundred thirty-four thousand, one hundred thirteen".