34144130342033 has 16 divisors (see below), whose sum is σ = 34441499892096. Its totient is φ = 33848033345280.

The previous prime is 34144130342029. The next prime is 34144130342041. The reversal of 34144130342033 is 33024303144143.

It is a cyclic number.

It is not a de Polignac number, because 34144130342033 - 2² = 34144130342029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34144130341984 and 34144130342002.

It is not an unprimeable number, because it can be changed into a prime (34144130342083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1319668985 + ... + 1319694857.

It is an arithmetic number, because the mean of its divisors is an integer number (2152593743256).

Almost surely, 2^{34144130342033} is an apocalyptic number.

It is an amenable number.

34144130342033 is a deficient number, since it is larger than the sum of its proper divisors (297369550063).

34144130342033 is a wasteful number, since it uses less digits than its factorization.

34144130342033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50024.

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 34144130342033 its reverse (33024303144143), we get a palindrome (67168433486176).

The spelling of 34144130342033 in words is "thirty-four trillion, one hundred forty-four billion, one hundred thirty million, three hundred forty-two thousand, thirty-three".