34102122133 has 16 divisors (see below), whose sum is σ = 34687699200. Its totient is φ = 33522840000.

The previous prime is 34102122121. The next prime is 34102122193. The reversal of 34102122133 is 33122120143.

It is a cyclic number.

It is not a de Polignac number, because 34102122133 - 2¹⁷ = 34101991061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34102122193) 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, 7175508 + ... + 7180258.

It is an arithmetic number, because the mean of its divisors is an integer number (2167981200).

Almost surely, 2^34102122133 is an apocalyptic number.

It is an amenable number.

34102122133 is a deficient number, since it is larger than the sum of its proper divisors (585577067).

34102122133 is a wasteful number, since it uses less digits than its factorization.

34102122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5388.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 34102122133 its reverse (33122120143), we get a palindrome (67224242276).

The spelling of 34102122133 in words is "thirty-four billion, one hundred two million, one hundred twenty-two thousand, one hundred thirty-three".