33220031333013 has 48 divisors (see below), whose sum is σ = 54981203397120. Its totient is φ = 18933813078048.

The previous prime is 33220031333011. The next prime is 33220031333029. The reversal of 33220031333013 is 31033313002233.

33220031333013 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 0 + 0 + 313 + 330 + 13 = 666.

It is not a de Polignac number, because 33220031333013 - 2¹ = 33220031333011 is a prime.

It is a super-2 number, since 2×33220031333013² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33220031333011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135743106 + ... + 135987612.

It is an arithmetic number, because the mean of its divisors is an integer number (1145441737440).

Almost surely, 2^{33220031333013} is an apocalyptic number.

It is an amenable number.

33220031333013 is a deficient number, since it is larger than the sum of its proper divisors (21761172064107).

33220031333013 is a wasteful number, since it uses less digits than its factorization.

33220031333013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250086 (or 250083 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 33220031333013 its reverse (31033313002233), we get a palindrome (64253344335246).

The spelling of 33220031333013 in words is "thirty-three trillion, two hundred twenty billion, thirty-one million, three hundred thirty-three thousand, thirteen".