34113005123623 has 2 divisors, whose sum is σ = 34113005123624. Its totient is φ = 34113005123622.

The previous prime is 34113005123599. The next prime is 34113005123657. The reversal of 34113005123623 is 32632150031143.

It is an a-pointer prime, because the next prime (34113005123657) can be obtained adding 34113005123623 to its sum of digits (34).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 34113005123623 - 2⁵ = 34113005123591 is a prime.

It is a super-2 number, since 2×34113005123623² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34113005123683) 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, 17056502561811 + 17056502561812.

It is an arithmetic number, because the mean of its divisors is an integer number (17056502561812).

Almost surely, 2^{34113005123623} is an apocalyptic number.

34113005123623 is a deficient number, since it is larger than the sum of its proper divisors (1).

34113005123623 is an equidigital number, since it uses as much as digits as its factorization.

34113005123623 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 34.

Adding to 34113005123623 its reverse (32632150031143), we get a palindrome (66745155154766).

The spelling of 34113005123623 in words is "thirty-four trillion, one hundred thirteen billion, five million, one hundred twenty-three thousand, six hundred twenty-three".