34102400133 has 8 divisors (see below), whose sum is σ = 45485193600. Its totient is φ = 22727270048.

The previous prime is 34102400131. The next prime is 34102400141. The reversal of 34102400133 is 33100420143.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34102400133 - 2¹ = 34102400131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34102400131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1905453 + ... + 1923266.

It is an arithmetic number, because the mean of its divisors is an integer number (5685649200).

Almost surely, 2^34102400133 is an apocalyptic number.

It is an amenable number.

34102400133 is a deficient number, since it is larger than the sum of its proper divisors (11382793467).

34102400133 is a wasteful number, since it uses less digits than its factorization.

34102400133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831691.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 34102400133 its reverse (33100420143), we get a palindrome (67202820276).

The spelling of 34102400133 in words is "thirty-four billion, one hundred two million, four hundred thousand, one hundred thirty-three".