34333101411313 has 2 divisors, whose sum is σ = 34333101411314. Its totient is φ = 34333101411312.

The previous prime is 34333101411277. The next prime is 34333101411317. The reversal of 34333101411313 is 31311410133343.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22464642337344 + 11868459073969 = 4739688^2 + 3445063^2 .

It is a cyclic number.

It is not a de Polignac number, because 34333101411313 - 2²⁹ = 34332564540401 is a prime.

It is not a weakly prime, because it can be changed into another prime (34333101411317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17166550705656 + 17166550705657.

It is an arithmetic number, because the mean of its divisors is an integer number (17166550705657).

Almost surely, 2^{34333101411313} is an apocalyptic number.

It is an amenable number.

34333101411313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34333101411313 is an equidigital number, since it uses as much as digits as its factorization.

34333101411313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 31.

Adding to 34333101411313 its reverse (31311410133343), we get a palindrome (65644511544656).

The spelling of 34333101411313 in words is "thirty-four trillion, three hundred thirty-three billion, one hundred one million, four hundred eleven thousand, three hundred thirteen".