34133121409 has 2 divisors, whose sum is σ = 34133121410. Its totient is φ = 34133121408.

The previous prime is 34133121371. The next prime is 34133121413. The reversal of 34133121409 is 90412133143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20699152384 + 13433969025 = 143872^2 + 115905^2 .

It is an emirp because it is prime and its reverse (90412133143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34133121409 - 2²⁹ = 33596250497 is a prime.

It is not a weakly prime, because it can be changed into another prime (34133121479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17066560704 + 17066560705.

It is an arithmetic number, because the mean of its divisors is an integer number (17066560705).

Almost surely, 2^34133121409 is an apocalyptic number.

It is an amenable number.

34133121409 is a deficient number, since it is larger than the sum of its proper divisors (1).

34133121409 is an equidigital number, since it uses as much as digits as its factorization.

34133121409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 34133121409 in words is "thirty-four billion, one hundred thirty-three million, one hundred twenty-one thousand, four hundred nine".