34101051329 has 2 divisors, whose sum is σ = 34101051330. Its totient is φ = 34101051328.

The previous prime is 34101051311. The next prime is 34101051331. The reversal of 34101051329 is 92315010143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19088185600 + 15012865729 = 138160^2 + 122527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34101051329 is a prime.

Together with 34101051331, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34101051389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17050525664 + 17050525665.

It is an arithmetic number, because the mean of its divisors is an integer number (17050525665).

Almost surely, 2^34101051329 is an apocalyptic number.

It is an amenable number.

34101051329 is a deficient number, since it is larger than the sum of its proper divisors (1).

34101051329 is an equidigital number, since it uses as much as digits as its factorization.

34101051329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 29.

The spelling of 34101051329 in words is "thirty-four billion, one hundred one million, fifty-one thousand, three hundred twenty-nine".