34130351014353 has 48 divisors (see below), whose sum is σ = 54697637966400. Its totient is φ = 20332632637440.

The previous prime is 34130351014303. The next prime is 34130351014391. The reversal of 34130351014353 is 35341015303143.

It is a happy number.

34130351014353 is a `hidden beast` number, since 3 + 4 + 130 + 3 + 510 + 1 + 4 + 3 + 5 + 3 = 666.

It is not a de Polignac number, because 34130351014353 - 2¹⁶ = 34130350948817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34130351014303) 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 47 ways as a sum of consecutive naturals, for example, 65914801 + ... + 66430577.

It is an arithmetic number, because the mean of its divisors is an integer number (1139534124300).

Almost surely, 2^{34130351014353} is an apocalyptic number.

34130351014353 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34130351014353 is a deficient number, since it is larger than the sum of its proper divisors (20567286952047).

34130351014353 is a wasteful number, since it uses less digits than its factorization.

34130351014353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527182 (or 527179 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 34130351014353 its reverse (35341015303143), we get a palindrome (69471366317496).

The spelling of 34130351014353 in words is "thirty-four trillion, one hundred thirty billion, three hundred fifty-one million, fourteen thousand, three hundred fifty-three".