34000332100133 has 16 divisors (see below), whose sum is σ = 39034258391040. Its totient is φ = 29010626372016.

The previous prime is 34000332100121. The next prime is 34000332100177. The reversal of 34000332100133 is 33100123300043.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34000332100133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34000332100099 and 34000332100108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000332102133) 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, 9665060 + ... + 12704882.

It is an arithmetic number, because the mean of its divisors is an integer number (2439641149440).

Almost surely, 2^{34000332100133} is an apocalyptic number.

It is an amenable number.

34000332100133 is a deficient number, since it is larger than the sum of its proper divisors (5033926290907).

34000332100133 is a wasteful number, since it uses less digits than its factorization.

34000332100133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047096.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 34000332100133 its reverse (33100123300043), we get a palindrome (67100455400176).

The spelling of 34000332100133 in words is "thirty-four trillion, three hundred thirty-two million, one hundred thousand, one hundred thirty-three".