34130411133 has 64 divisors (see below), whose sum is σ = 56547950592. Its totient is φ = 17830471680.

The previous prime is 34130411123. The next prime is 34130411171. The reversal of 34130411133 is 33111403143.

It is not a de Polignac number, because 34130411133 - 2¹² = 34130407037 is a prime.

It is a super-2 number, since 2×34130411133² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130411123) 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 in 63 ways as a sum of consecutive naturals, for example, 12844141 + ... + 12846797.

It is an arithmetic number, because the mean of its divisors is an integer number (883561728).

Almost surely, 2^34130411133 is an apocalyptic number.

It is an amenable number.

34130411133 is a deficient number, since it is larger than the sum of its proper divisors (22417539459).

34130411133 is a wasteful number, since it uses less digits than its factorization.

34130411133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 34130411133 its reverse (33111403143), we get a palindrome (67241814276).

The spelling of 34130411133 in words is "thirty-four billion, one hundred thirty million, four hundred eleven thousand, one hundred thirty-three".