34513041321 has 24 divisors (see below), whose sum is σ = 57246515040. Its totient is φ = 19816099200.

The previous prime is 34513041293. The next prime is 34513041323. The reversal of 34513041321 is 12314031543.

It is a happy number.

34513041321 is a `hidden beast` number, since 34 + 5 + 1 + 304 + 1 + 321 = 666.

It is not a de Polignac number, because 34513041321 - 2⁶ = 34513041257 is a prime.

It is a super-3 number, since 3×34513041321³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34513041323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9172240 + ... + 9176001.

It is an arithmetic number, because the mean of its divisors is an integer number (2385271460).

Almost surely, 2^34513041321 is an apocalyptic number.

It is an amenable number.

34513041321 is a deficient number, since it is larger than the sum of its proper divisors (22733473719).

34513041321 is a wasteful number, since it uses less digits than its factorization.

34513041321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18348277 (or 18348274 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 34513041321 its reverse (12314031543), we get a palindrome (46827072864).

The spelling of 34513041321 in words is "thirty-four billion, five hundred thirteen million, forty-one thousand, three hundred twenty-one".