133110001331213 has 2 divisors, whose sum is σ = 133110001331214. Its totient is φ = 133110001331212.

The previous prime is 133110001331207. The next prime is 133110001331257. The reversal of 133110001331213 is 312133100011331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92328979787209 + 40781021544004 = 9608797^2 + 6386002^2 .

It is an emirp because it is prime and its reverse (312133100011331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133110001331213 - 2²⁸ = 133109732895757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133110001331273) 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 as a sum of consecutive naturals, namely, 66555000665606 + 66555000665607.

It is an arithmetic number, because the mean of its divisors is an integer number (66555000665607).

Almost surely, 2^{133110001331213} is an apocalyptic number.

It is an amenable number.

133110001331213 is a deficient number, since it is larger than the sum of its proper divisors (1).

133110001331213 is an equidigital number, since it uses as much as digits as its factorization.

133110001331213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 133110001331213 its reverse (312133100011331), we get a palindrome (445243101342544).

The spelling of 133110001331213 in words is "one hundred thirty-three trillion, one hundred ten billion, one million, three hundred thirty-one thousand, two hundred thirteen".