33034135343013 has 24 divisors (see below), whose sum is σ = 54628380206400. Its totient is φ = 18843473617344.

The previous prime is 33034135343009. The next prime is 33034135343039. The reversal of 33034135343013 is 31034353143033.

33034135343013 is a `hidden beast` number, since 3 + 3 + 0 + 341 + 3 + 5 + 3 + 4 + 301 + 3 = 666.

It is not a de Polignac number, because 33034135343013 - 2² = 33034135343009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33034135343003) 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, 460729843 + ... + 460801536.

It is an arithmetic number, because the mean of its divisors is an integer number (2276182508600).

Almost surely, 2^{33034135343013} is an apocalyptic number.

It is an amenable number.

33034135343013 is a deficient number, since it is larger than the sum of its proper divisors (21594244863387).

33034135343013 is a wasteful number, since it uses less digits than its factorization.

33034135343013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921531961 (or 921531958 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 36.

Adding to 33034135343013 its reverse (31034353143033), we get a palindrome (64068488486046).

The spelling of 33034135343013 in words is "thirty-three trillion, thirty-four billion, one hundred thirty-five million, three hundred forty-three thousand, thirteen".