34100542013 has 2 divisors, whose sum is σ = 34100542014. Its totient is φ = 34100542012.

The previous prime is 34100541989. The next prime is 34100542031. The reversal of 34100542013 is 31024500143.

Together with next prime (34100542031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24920411044 + 9180130969 = 157862^2 + 95813^2 .

It is a cyclic number.

It is not a de Polignac number, because 34100542013 - 2²⁰ = 34099493437 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34100542013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34100542093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17050271006 + 17050271007.

It is an arithmetic number, because the mean of its divisors is an integer number (17050271007).

Almost surely, 2^34100542013 is an apocalyptic number.

It is an amenable number.

34100542013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34100542013 is an equidigital number, since it uses as much as digits as its factorization.

34100542013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 23.

The spelling of 34100542013 in words is "thirty-four billion, one hundred million, five hundred forty-two thousand, thirteen".