34011013111333 has 2 divisors, whose sum is σ = 34011013111334. Its totient is φ = 34011013111332.

The previous prime is 34011013111319. The next prime is 34011013111399. The reversal of 34011013111333 is 33311131011043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33449543139364 + 561469971969 = 5783558^2 + 749313^2 .

It is an emirp because it is prime and its reverse (33311131011043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34011013111333 - 2⁹ = 34011013110821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34011013111298 and 34011013111307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34011013111133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17005506555666 + 17005506555667.

It is an arithmetic number, because the mean of its divisors is an integer number (17005506555667).

Almost surely, 2^{34011013111333} is an apocalyptic number.

It is an amenable number.

34011013111333 is a deficient number, since it is larger than the sum of its proper divisors (1).

34011013111333 is an equidigital number, since it uses as much as digits as its factorization.

34011013111333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 34011013111333 its reverse (33311131011043), we get a palindrome (67322144122376).

The spelling of 34011013111333 in words is "thirty-four trillion, eleven billion, thirteen million, one hundred eleven thousand, three hundred thirty-three".