34127133316933 has 2 divisors, whose sum is σ = 34127133316934. Its totient is φ = 34127133316932.

The previous prime is 34127133316891. The next prime is 34127133316967. The reversal of 34127133316933 is 33961333172143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33081109617924 + 1046023699009 = 5751618^2 + 1022753^2 .

It is a cyclic number.

It is not a de Polignac number, because 34127133316933 - 2²⁵ = 34127099762501 is a prime.

It is a super-2 number, since 2×34127133316933² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34127133317933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17063566658466 + 17063566658467.

It is an arithmetic number, because the mean of its divisors is an integer number (17063566658467).

Almost surely, 2^{34127133316933} is an apocalyptic number.

It is an amenable number.

34127133316933 is a deficient number, since it is larger than the sum of its proper divisors (1).

34127133316933 is an equidigital number, since it uses as much as digits as its factorization.

34127133316933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2204496, while the sum is 49.

The spelling of 34127133316933 in words is "thirty-four trillion, one hundred twenty-seven billion, one hundred thirty-three million, three hundred sixteen thousand, nine hundred thirty-three".