34131300444351 has 72 divisors (see below), whose sum is σ = 56600046594000. Its totient is φ = 19653462935040.

The previous prime is 34131300444301. The next prime is 34131300444389. The reversal of 34131300444351 is 15344400313143.

34131300444351 is a `hidden beast` number, since 3 + 4 + 131 + 30 + 0 + 4 + 443 + 51 = 666.

It is not a de Polignac number, because 34131300444351 - 2¹¹ = 34131300442303 is a prime.

It is a super-3 number, since 3×34131300444351³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131300444301) 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 71 ways as a sum of consecutive naturals, for example, 5616295 + ... + 9990263.

It is an arithmetic number, because the mean of its divisors is an integer number (786111758250).

Almost surely, 2^{34131300444351} is an apocalyptic number.

34131300444351 is a deficient number, since it is larger than the sum of its proper divisors (22468746149649).

34131300444351 is a wasteful number, since it uses less digits than its factorization.

34131300444351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374181 (or 4374155 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 34131300444351 its reverse (15344400313143), we get a palindrome (49475700757494).

The spelling of 34131300444351 in words is "thirty-four trillion, one hundred thirty-one billion, three hundred million, four hundred forty-four thousand, three hundred fifty-one".