34510312013 has 2 divisors, whose sum is σ = 34510312014. Its totient is φ = 34510312012.

The previous prime is 34510311977. The next prime is 34510312049. The reversal of 34510312013 is 31021301543.

It is a balanced prime because it is at equal distance from previous prime (34510311977) and next prime (34510312049).

It can be written as a sum of positive squares in only one way, i.e., 30082474249 + 4427837764 = 173443^2 + 66542^2 .

It is a cyclic number.

It is not a de Polignac number, because 34510312013 - 2¹⁸ = 34510049869 is a prime.

It is a super-2 number, since 2×34510312013² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34510312013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34510312093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17255156006 + 17255156007.

It is an arithmetic number, because the mean of its divisors is an integer number (17255156007).

Almost surely, 2^34510312013 is an apocalyptic number.

It is an amenable number.

34510312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34510312013 is an equidigital number, since it uses as much as digits as its factorization.

34510312013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 34510312013 its reverse (31021301543), we get a palindrome (65531613556).

The spelling of 34510312013 in words is "thirty-four billion, five hundred ten million, three hundred twelve thousand, thirteen".