34796160000013 has 2 divisors, whose sum is σ = 34796160000014. Its totient is φ = 34796160000012.

The previous prime is 34796159999981. The next prime is 34796160000031. The reversal of 34796160000013 is 31000006169743.

Together with next prime (34796160000031) 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., 26833000883364 + 7963159116649 = 5180058^2 + 2821907^2 .

It is a cyclic number.

It is not a de Polignac number, because 34796160000013 - 2⁵ = 34796159999981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34796160000053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17398080000006 + 17398080000007.

It is an arithmetic number, because the mean of its divisors is an integer number (17398080000007).

Almost surely, 2^{34796160000013} is an apocalyptic number.

It is an amenable number.

34796160000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34796160000013 is an equidigital number, since it uses as much as digits as its factorization.

34796160000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 40.

Adding to 34796160000013 its reverse (31000006169743), we get a palindrome (65796166169756).

The spelling of 34796160000013 in words is "thirty-four trillion, seven hundred ninety-six billion, one hundred sixty million, thirteen", and thus it is an aban number.