2134113042329 has 2 divisors, whose sum is σ = 2134113042330. Its totient is φ = 2134113042328.

The previous prime is 2134113042319. The next prime is 2134113042359. The reversal of 2134113042329 is 9232403114312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1425452129929 + 708660912400 = 1193923^2 + 841820^2 .

It is a cyclic number.

It is not a de Polignac number, because 2134113042329 - 2⁸ = 2134113042073 is a prime.

It is a super-3 number, since 3×2134113042329³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2134113042319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1067056521164 + 1067056521165.

It is an arithmetic number, because the mean of its divisors is an integer number (1067056521165).

Almost surely, 2^{2134113042329} is an apocalyptic number.

It is an amenable number.

2134113042329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2134113042329 is an equidigital number, since it uses as much as digits as its factorization.

2134113042329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 2134113042329 in words is "two trillion, one hundred thirty-four billion, one hundred thirteen million, forty-two thousand, three hundred twenty-nine".