312204441133 has 16 divisors (see below), whose sum is σ = 338266439280. Its totient is φ = 288140316672.

The previous prime is 312204441127. The next prime is 312204441163. The reversal of 312204441133 is 331144402213.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 144823630249 + 167380810884 = 380557^2 + 409122^2 .

It is not a de Polignac number, because 312204441133 - 2¹³ = 312204432941 is a prime.

It is a super-4 number, since 4×312204441133⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312204441103) 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 15 ways as a sum of consecutive naturals, for example, 25024185 + ... + 25036657.

It is an arithmetic number, because the mean of its divisors is an integer number (21141652455).

Almost surely, 2^312204441133 is an apocalyptic number.

It is an amenable number.

312204441133 is a deficient number, since it is larger than the sum of its proper divisors (26061998147).

312204441133 is a wasteful number, since it uses less digits than its factorization.

312204441133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23905 (or 23879 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 312204441133 its reverse (331144402213), we get a palindrome (643348843346).

The spelling of 312204441133 in words is "three hundred twelve billion, two hundred four million, four hundred forty-one thousand, one hundred thirty-three".