133431012405 has 12 divisors (see below), whose sum is σ = 231280421580. Its totient is φ = 71163206592.

The previous prime is 133431012401. The next prime is 133431012413. The reversal of 133431012405 is 504210134331.

It is a happy number.

133431012405 is a `hidden beast` number, since 1 + 334 + 310 + 12 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55383974244 + 78047038161 = 235338^2 + 279369^2 .

It is not a de Polignac number, because 133431012405 - 2² = 133431012401 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133431012401) 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 11 ways as a sum of consecutive naturals, for example, 1482566760 + ... + 1482566849.

It is an arithmetic number, because the mean of its divisors is an integer number (19273368465).

Almost surely, 2^133431012405 is an apocalyptic number.

133431012405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133431012405 is a deficient number, since it is larger than the sum of its proper divisors (97849409175).

133431012405 is a wasteful number, since it uses less digits than its factorization.

133431012405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965133620 (or 2965133617 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 133431012405 its reverse (504210134331), we get a palindrome (637641146736).

The spelling of 133431012405 in words is "one hundred thirty-three billion, four hundred thirty-one million, twelve thousand, four hundred five".