34113005123201 has 2 divisors, whose sum is σ = 34113005123202. Its totient is φ = 34113005123200.

The previous prime is 34113005123143. The next prime is 34113005123269. The reversal of 34113005123201 is 10232150031143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21499682400625 + 12613322722576 = 4636775^2 + 3551524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34113005123201 is a prime.

It is not a weakly prime, because it can be changed into another prime (34113005123401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17056502561600 + 17056502561601.

It is an arithmetic number, because the mean of its divisors is an integer number (17056502561601).

Almost surely, 2^{34113005123201} is an apocalyptic number.

It is an amenable number.

34113005123201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34113005123201 is an equidigital number, since it uses as much as digits as its factorization.

34113005123201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 34113005123201 its reverse (10232150031143), we get a palindrome (44345155154344).

The spelling of 34113005123201 in words is "thirty-four trillion, one hundred thirteen billion, five million, one hundred twenty-three thousand, two hundred one".