213003323133113 has 2 divisors, whose sum is σ = 213003323133114. Its totient is φ = 213003323133112.

The previous prime is 213003323133079. The next prime is 213003323133121. The reversal of 213003323133113 is 311331323300312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200437411238464 + 12565911894649 = 14157592^2 + 3544843^2 .

It is a cyclic number.

It is not a de Polignac number, because 213003323133113 - 2³² = 212999028165817 is a prime.

It is not a weakly prime, because it can be changed into another prime (213003323133413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106501661566556 + 106501661566557.

It is an arithmetic number, because the mean of its divisors is an integer number (106501661566557).

Almost surely, 2^{213003323133113} is an apocalyptic number.

It is an amenable number.

213003323133113 is a deficient number, since it is larger than the sum of its proper divisors (1).

213003323133113 is an equidigital number, since it uses as much as digits as its factorization.

213003323133113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 213003323133113 its reverse (311331323300312), we get a palindrome (524334646433425).

The spelling of 213003323133113 in words is "two hundred thirteen trillion, three billion, three hundred twenty-three million, one hundred thirty-three thousand, one hundred thirteen".