34112103121013 has 2 divisors, whose sum is σ = 34112103121014. Its totient is φ = 34112103121012.

The previous prime is 34112103121003. The next prime is 34112103121021. The reversal of 34112103121013 is 31012130121143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20863718853124 + 13248384267889 = 4567682^2 + 3639833^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34112103121013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34112103121013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34112103121003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17056051560506 + 17056051560507.

It is an arithmetic number, because the mean of its divisors is an integer number (17056051560507).

Almost surely, 2^{34112103121013} is an apocalyptic number.

It is an amenable number.

34112103121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34112103121013 is an equidigital number, since it uses as much as digits as its factorization.

34112103121013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 34112103121013 its reverse (31012130121143), we get a palindrome (65124233242156).

The spelling of 34112103121013 in words is "thirty-four trillion, one hundred twelve billion, one hundred three million, one hundred twenty-one thousand, thirteen".