133444100313 has 12 divisors (see below), whose sum is σ = 193866768420. Its totient is φ = 88448497056.

The previous prime is 133444100311. The next prime is 133444100347. The reversal of 133444100313 is 313001444331.

133444100313 is a `hidden beast` number, since 1 + 3 + 344 + 4 + 1 + 0 + 0 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126100981449 + 7343118864 = 355107^2 + 85692^2 .

It is not a de Polignac number, because 133444100313 - 2¹ = 133444100311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133444100311) 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, 42851398 + ... + 42854511.

It is an arithmetic number, because the mean of its divisors is an integer number (16155564035).

Almost surely, 2^133444100313 is an apocalyptic number.

It is an amenable number.

133444100313 is a deficient number, since it is larger than the sum of its proper divisors (60422668107).

133444100313 is a wasteful number, since it uses less digits than its factorization.

133444100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85706088 (or 85706085 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133444100313 its reverse (313001444331), we get a palindrome (446445544644).

The spelling of 133444100313 in words is "one hundred thirty-three billion, four hundred forty-four million, one hundred thousand, three hundred thirteen".