34302134313 has 32 divisors (see below), whose sum is σ = 51701760000. Its totient is φ = 22470726096.

The previous prime is 34302134303. The next prime is 34302134357. The reversal of 34302134313 is 31343120343.

34302134313 is a `hidden beast` number, since 3 + 4 + 302 + 1 + 343 + 13 = 666.

It is not a de Polignac number, because 34302134313 - 2⁸ = 34302134057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34302134303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6495208 + ... + 6500486.

It is an arithmetic number, because the mean of its divisors is an integer number (1615680000).

Almost surely, 2^34302134313 is an apocalyptic number.

It is an amenable number.

34302134313 is a deficient number, since it is larger than the sum of its proper divisors (17399625687).

34302134313 is a wasteful number, since it uses less digits than its factorization.

34302134313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9426 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 34302134313 its reverse (31343120343), we get a palindrome (65645254656).

The spelling of 34302134313 in words is "thirty-four billion, three hundred two million, one hundred thirty-four thousand, three hundred thirteen".