34133031305 has 8 divisors (see below), whose sum is σ = 41365179144. Its totient is φ = 27036064000.

The previous prime is 34133031301. The next prime is 34133031313. The reversal of 34133031305 is 50313033143.

It can be written as a sum of positive squares in 4 ways, for example, as 12483145984 + 21649885321 = 111728^2 + 147139^2 .

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

It is not a de Polignac number, because 34133031305 - 2² = 34133031301 is a prime.

It is a super-2 number, since 2×34133031305² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34133031301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33794576 + ... + 33795585.

It is an arithmetic number, because the mean of its divisors is an integer number (5170647393).

Almost surely, 2^34133031305 is an apocalyptic number.

It is an amenable number.

34133031305 is a deficient number, since it is larger than the sum of its proper divisors (7232147839).

34133031305 is a wasteful number, since it uses less digits than its factorization.

34133031305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67590267.

The product of its (nonzero) digits is 4860, while the sum is 26.

Adding to 34133031305 its reverse (50313033143), we get a palindrome (84446064448).

The spelling of 34133031305 in words is "thirty-four billion, one hundred thirty-three million, thirty-one thousand, three hundred five".