133313013223337 has 2 divisors, whose sum is σ = 133313013223338. Its totient is φ = 133313013223336.

The previous prime is 133313013223277. The next prime is 133313013223361. The reversal of 133313013223337 is 733322310313331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133012949199376 + 300064023961 = 11533124^2 + 547781^2 .

It is a cyclic number.

It is not a de Polignac number, because 133313013223337 - 2⁸ = 133313013223081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133313013223337.

It is not a weakly prime, because it can be changed into another prime (133313013228337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66656506611668 + 66656506611669.

It is an arithmetic number, because the mean of its divisors is an integer number (66656506611669).

Almost surely, 2^{133313013223337} is an apocalyptic number.

It is an amenable number.

133313013223337 is a deficient number, since it is larger than the sum of its proper divisors (1).

133313013223337 is an equidigital number, since it uses as much as digits as its factorization.

133313013223337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 183708, while the sum is 38.

Adding to 133313013223337 its reverse (733322310313331), we get a palindrome (866635323536668).

The spelling of 133313013223337 in words is "one hundred thirty-three trillion, three hundred thirteen billion, thirteen million, two hundred twenty-three thousand, three hundred thirty-seven".