33002121313 has 8 divisors (see below), whose sum is σ = 37860121728. Its totient is φ = 28179973824.

The previous prime is 33002121283. The next prime is 33002121319. The reversal of 33002121313 is 31312120033.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33002121313 - 2²⁵ = 32968566881 is a prime.

It is a super-2 number, since 2×33002121313² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33002121319) 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 7 ways as a sum of consecutive naturals, for example, 8961256 + ... + 8964937.

It is an arithmetic number, because the mean of its divisors is an integer number (4732515216).

Almost surely, 2^33002121313 is an apocalyptic number.

It is an amenable number.

33002121313 is a deficient number, since it is larger than the sum of its proper divisors (4858000415).

33002121313 is a wasteful number, since it uses less digits than its factorization.

33002121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17926463.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 33002121313 its reverse (31312120033), we get a palindrome (64314241346).

The spelling of 33002121313 in words is "thirty-three billion, two million, one hundred twenty-one thousand, three hundred thirteen".