34303114213337 has 2 divisors, whose sum is σ = 34303114213338. Its totient is φ = 34303114213336.

The previous prime is 34303114213289. The next prime is 34303114213367. The reversal of 34303114213337 is 73331241130343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31605321103321 + 2697793110016 = 5621861^2 + 1642496^2 .

It is a cyclic number.

It is not a de Polignac number, because 34303114213337 - 2⁶ = 34303114213273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34303114213337.

It is not a weakly prime, because it can be changed into another prime (34303114213367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17151557106668 + 17151557106669.

It is an arithmetic number, because the mean of its divisors is an integer number (17151557106669).

Almost surely, 2^{34303114213337} is an apocalyptic number.

It is an amenable number.

34303114213337 is a deficient number, since it is larger than the sum of its proper divisors (1).

34303114213337 is an equidigital number, since it uses as much as digits as its factorization.

34303114213337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 163296, while the sum is 38.

The spelling of 34303114213337 in words is "thirty-four trillion, three hundred three billion, one hundred fourteen million, two hundred thirteen thousand, three hundred thirty-seven".