34041314123130 has 16 divisors (see below), whose sum is σ = 81699153895584. Its totient is φ = 9077683766160.

The previous prime is 34041314123119. The next prime is 34041314123153. The reversal of 34041314123130 is 3132141314043.

It is a super-2 number, since 2×34041314123130² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 1134710470771 = 34041314123130 / (3 + 4 + 0 + 4 + 1 + 3 + 1 + 4 + 1 + 2 + 3 + 1 + 3 + 0).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567355235356 + ... + 567355235415.

It is an arithmetic number, because the mean of its divisors is an integer number (5106197118474).

Almost surely, 2^{34041314123130} is an apocalyptic number.

34041314123130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34041314123130 is an abundant number, since it is smaller than the sum of its proper divisors (47657839772454).

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

34041314123130 is a wasteful number, since it uses less digits than its factorization.

34041314123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134710470781.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 34041314123130 its reverse (3132141314043), we get a palindrome (37173455437173).

The spelling of 34041314123130 in words is "thirty-four trillion, forty-one billion, three hundred fourteen million, one hundred twenty-three thousand, one hundred thirty".