1233313132213 has 2 divisors, whose sum is σ = 1233313132214. Its totient is φ = 1233313132212.

The previous prime is 1233313132199. The next prime is 1233313132237. The reversal of 1233313132213 is 3122313133321.

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., 1219694942404 + 13618189809 = 1104398^2 + 116697^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1233313132213 is a prime.

It is a super-2 number, since 2×1233313132213² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1233313132243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 616656566106 + 616656566107.

It is an arithmetic number, because the mean of its divisors is an integer number (616656566107).

Almost surely, 2^{1233313132213} is an apocalyptic number.

It is an amenable number.

1233313132213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1233313132213 is an equidigital number, since it uses as much as digits as its factorization.

1233313132213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 28.

Adding to 1233313132213 its reverse (3122313133321), we get a palindrome (4355626265534).

The spelling of 1233313132213 in words is "one trillion, two hundred thirty-three billion, three hundred thirteen million, one hundred thirty-two thousand, two hundred thirteen".