12033213013313 has 2 divisors, whose sum is σ = 12033213013314. Its totient is φ = 12033213013312.

The previous prime is 12033213013309. The next prime is 12033213013331. The reversal of 12033213013313 is 31331031233021.

12033213013313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (12033213013331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11835884270224 + 197328743089 = 3440332^2 + 444217^2 .

It is a cyclic number.

It is not a de Polignac number, because 12033213013313 - 2² = 12033213013309 is a prime.

It is not a weakly prime, because it can be changed into another prime (12033213013303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6016606506656 + 6016606506657.

It is an arithmetic number, because the mean of its divisors is an integer number (6016606506657).

Almost surely, 2^{12033213013313} is an apocalyptic number.

It is an amenable number.

12033213013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12033213013313 is an equidigital number, since it uses as much as digits as its factorization.

12033213013313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 12033213013313 its reverse (31331031233021), we get a palindrome (43364244246334).

The spelling of 12033213013313 in words is "twelve trillion, thirty-three billion, two hundred thirteen million, thirteen thousand, three hundred thirteen".