12133010100313 has 16 divisors (see below), whose sum is σ = 12855267286416. Its totient is φ = 11411704729600.

The previous prime is 12133010100311. The next prime is 12133010100329. The reversal of 12133010100313 is 31300101033121.

It can be written as a sum of positive squares in 8 ways, for example, as 106450807824 + 12026559292489 = 326268^2 + 3467933^2 .

It is not a de Polignac number, because 12133010100313 - 2¹ = 12133010100311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12133010100311) 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, 277031745 + ... + 277075537.

It is an arithmetic number, because the mean of its divisors is an integer number (803454205401).

Almost surely, 2^{12133010100313} is an apocalyptic number.

It is an amenable number.

12133010100313 is a deficient number, since it is larger than the sum of its proper divisors (722257186103).

12133010100313 is a wasteful number, since it uses less digits than its factorization.

12133010100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54284.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 12133010100313 its reverse (31300101033121), we get a palindrome (43433111133434).

The spelling of 12133010100313 in words is "twelve trillion, one hundred thirty-three billion, ten million, one hundred thousand, three hundred thirteen".