123133130332213 has 2 divisors, whose sum is σ = 123133130332214. Its totient is φ = 123133130332212.

The previous prime is 123133130332211. The next prime is 123133130332249. The reversal of 123133130332213 is 312233031331321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121260113641489 + 1873016690724 = 11011817^2 + 1368582^2 .

It is a cyclic number.

It is not a de Polignac number, because 123133130332213 - 2¹ = 123133130332211 is a prime.

Together with 123133130332211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123133130332211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61566565166106 + 61566565166107.

It is an arithmetic number, because the mean of its divisors is an integer number (61566565166107).

Almost surely, 2^{123133130332213} is an apocalyptic number.

It is an amenable number.

123133130332213 is a deficient number, since it is larger than the sum of its proper divisors (1).

123133130332213 is an equidigital number, since it uses as much as digits as its factorization.

123133130332213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 123133130332213 its reverse (312233031331321), we get a palindrome (435366161663534).

The spelling of 123133130332213 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, one hundred thirty million, three hundred thirty-two thousand, two hundred thirteen".