34230013133134 has 256 divisors, whose sum is σ = 71245391616000. Its totient is φ = 11935674777600.

The previous prime is 34230013133101. The next prime is 34230013133227. The reversal of 34230013133134 is 43133131003243.

It is a super-2 number, since 2×34230013133134² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34230013133096 and 34230013133105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1848163794 + ... + 1848182314.

It is an arithmetic number, because the mean of its divisors is an integer number (278302311000).

Almost surely, 2^{34230013133134} is an apocalyptic number.

34230013133134 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34230013133134 is an abundant number, since it is smaller than the sum of its proper divisors (37015378482866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34230013133134 is a wasteful number, since it uses less digits than its factorization.

34230013133134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18939.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 34230013133134 its reverse (43133131003243), we get a palindrome (77363144136377).

The spelling of 34230013133134 in words is "thirty-four trillion, two hundred thirty billion, thirteen million, one hundred thirty-three thousand, one hundred thirty-four".