133302414123353 has 2 divisors, whose sum is σ = 133302414123354. Its totient is φ = 133302414123352.

The previous prime is 133302414123293. The next prime is 133302414123367. The reversal of 133302414123353 is 353321414203331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113379733632064 + 19922680491289 = 10647992^2 + 4463483^2 .

It is a cyclic number.

It is not a de Polignac number, because 133302414123353 - 2¹⁰ = 133302414122329 is a prime.

It is a super-2 number, since 2×133302414123353² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133302414123383) 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, 66651207061676 + 66651207061677.

It is an arithmetic number, because the mean of its divisors is an integer number (66651207061677).

Almost surely, 2^{133302414123353} is an apocalyptic number.

It is an amenable number.

133302414123353 is a deficient number, since it is larger than the sum of its proper divisors (1).

133302414123353 is an equidigital number, since it uses as much as digits as its factorization.

133302414123353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 38.

Adding to 133302414123353 its reverse (353321414203331), we get a palindrome (486623828326684).

The spelling of 133302414123353 in words is "one hundred thirty-three trillion, three hundred two billion, four hundred fourteen million, one hundred twenty-three thousand, three hundred fifty-three".