34041314103131 has 2 divisors, whose sum is σ = 34041314103132. Its totient is φ = 34041314103130.

The previous prime is 34041314103089. The next prime is 34041314103149. The reversal of 34041314103131 is 13130141314043.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34041314103131 is a prime.

It is a super-2 number, since 2×34041314103131² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34041314103094 and 34041314103103.

It is not a weakly prime, because it can be changed into another prime (34041314103151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17020657051565 + 17020657051566.

It is an arithmetic number, because the mean of its divisors is an integer number (17020657051566).

Almost surely, 2^{34041314103131} is an apocalyptic number.

34041314103131 is a deficient number, since it is larger than the sum of its proper divisors (1).

34041314103131 is an equidigital number, since it uses as much as digits as its factorization.

34041314103131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 34041314103131 its reverse (13130141314043), we get a palindrome (47171455417174).

The spelling of 34041314103131 in words is "thirty-four trillion, forty-one billion, three hundred fourteen million, one hundred three thousand, one hundred thirty-one".