33023210013 has 6 divisors (see below), whose sum is σ = 47700192254. Its totient is φ = 22015473336.

The previous prime is 33023209981. The next prime is 33023210057. The reversal of 33023210013 is 31001232033.

33023210013 is a `hidden beast` number, since 330 + 2 + 321 + 0 + 0 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26469012249 + 6554197764 = 162693^2 + 80958^2 .

It is not a de Polignac number, because 33023210013 - 2⁵ = 33023209981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33023210113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1834622770 + ... + 1834622787.

Almost surely, 2^33023210013 is an apocalyptic number.

It is an amenable number.

33023210013 is a deficient number, since it is larger than the sum of its proper divisors (14676982241).

33023210013 is a wasteful number, since it uses less digits than its factorization.

33023210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669245563 (or 3669245560 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33023210013 its reverse (31001232033), we get a palindrome (64024442046).

The spelling of 33023210013 in words is "thirty-three billion, twenty-three million, two hundred ten thousand, thirteen".