33045350013 has 24 divisors (see below), whose sum is σ = 51467565240. Its totient is φ = 20310405120.

The previous prime is 33045350003. The next prime is 33045350017. The reversal of 33045350013 is 31005354033.

It is a happy number.

33045350013 is a `hidden beast` number, since 3 + 304 + 5 + 350 + 0 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9738137124 + 23307212889 = 98682^2 + 152667^2 .

It is not a de Polignac number, because 33045350013 - 2¹³ = 33045341821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33045350017) 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, 79908 + ... + 269213.

It is an arithmetic number, because the mean of its divisors is an integer number (2144481885).

Almost surely, 2^33045350013 is an apocalyptic number.

It is an amenable number.

33045350013 is a deficient number, since it is larger than the sum of its proper divisors (18422215227).

33045350013 is a wasteful number, since it uses less digits than its factorization.

33045350013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349949 (or 349946 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The spelling of 33045350013 in words is "thirty-three billion, forty-five million, three hundred fifty thousand, thirteen".