34033110131133 has 24 divisors (see below), whose sum is σ = 49296224929952. Its totient is φ = 22625389927008.

The previous prime is 34033110131117. The next prime is 34033110131161. The reversal of 34033110131133 is 33113101133043.

34033110131133 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 311 + 0 + 1 + 311 + 33 = 666.

It is not a de Polignac number, because 34033110131133 - 2⁴ = 34033110131117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34033110131097 and 34033110131106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34033110131183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29796810 + ... + 30917892.

Almost surely, 2^{34033110131133} is an apocalyptic number.

It is an amenable number.

34033110131133 is a deficient number, since it is larger than the sum of its proper divisors (15263114798819).

34033110131133 is a wasteful number, since it uses less digits than its factorization.

34033110131133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130505 (or 1130502 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 34033110131133 its reverse (33113101133043), we get a palindrome (67146211264176).

The spelling of 34033110131133 in words is "thirty-four trillion, thirty-three billion, one hundred ten million, one hundred thirty-one thousand, one hundred thirty-three".