34351233413113 has 2 divisors, whose sum is σ = 34351233413114. Its totient is φ = 34351233413112.

The previous prime is 34351233413111. The next prime is 34351233413117. The reversal of 34351233413113 is 31131433215343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20694010570489 + 13657222842624 = 4549067^2 + 3695568^2 .

It is a cyclic number.

It is not a de Polignac number, because 34351233413113 - 2¹ = 34351233413111 is a prime.

Together with 34351233413111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34351233413111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17175616706556 + 17175616706557.

It is an arithmetic number, because the mean of its divisors is an integer number (17175616706557).

Almost surely, 2^{34351233413113} is an apocalyptic number.

It is an amenable number.

34351233413113 is a deficient number, since it is larger than the sum of its proper divisors (1).

34351233413113 is an equidigital number, since it uses as much as digits as its factorization.

34351233413113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 116640, while the sum is 37.

Adding to 34351233413113 its reverse (31131433215343), we get a palindrome (65482666628456).

The spelling of 34351233413113 in words is "thirty-four trillion, three hundred fifty-one billion, two hundred thirty-three million, four hundred thirteen thousand, one hundred thirteen".