34001010013 has 2 divisors, whose sum is σ = 34001010014. Its totient is φ = 34001010012.

The previous prime is 34001009983. The next prime is 34001010047. The reversal of 34001010013 is 31001010043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24447511449 + 9553498564 = 156357^2 + 97742^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34001010013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34001009975 and 34001010002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34001010073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17000505006 + 17000505007.

It is an arithmetic number, because the mean of its divisors is an integer number (17000505007).

Almost surely, 2^34001010013 is an apocalyptic number.

It is an amenable number.

34001010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34001010013 is an equidigital number, since it uses as much as digits as its factorization.

34001010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 34001010013 its reverse (31001010043), we get a palindrome (65002020056).

The spelling of 34001010013 in words is "thirty-four billion, one million, ten thousand, thirteen".