2233133322313 has 2 divisors, whose sum is σ = 2233133322314. Its totient is φ = 2233133322312.

The previous prime is 2233133322281. The next prime is 2233133322319. The reversal of 2233133322313 is 3132233313322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1732034980624 + 501098341689 = 1316068^2 + 707883^2 .

It is a cyclic number.

It is not a de Polignac number, because 2233133322313 - 2⁵ = 2233133322281 is a prime.

It is not a weakly prime, because it can be changed into another prime (2233133322319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116566661156 + 1116566661157.

It is an arithmetic number, because the mean of its divisors is an integer number (1116566661157).

Almost surely, 2^{2233133322313} is an apocalyptic number.

It is an amenable number.

2233133322313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2233133322313 is an equidigital number, since it uses as much as digits as its factorization.

2233133322313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 34992, while the sum is 31.

Adding to 2233133322313 its reverse (3132233313322), we get a palindrome (5365366635635).

The spelling of 2233133322313 in words is "two trillion, two hundred thirty-three billion, one hundred thirty-three million, three hundred twenty-two thousand, three hundred thirteen".