33004021122313 has 8 divisors (see below), whose sum is σ = 33013612306440. Its totient is φ = 32994430513920.

The previous prime is 33004021122283. The next prime is 33004021122329. The reversal of 33004021122313 is 31322112040033.

It can be written as a sum of positive squares in 4 ways, for example, as 596869040329 + 32407152081984 = 772573^2 + 5692728^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33004021122313 is a prime.

It is a super-2 number, since 2×33004021122313² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33004021122713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131871531 + ... + 132121567.

It is an arithmetic number, because the mean of its divisors is an integer number (4126701538305).

Almost surely, 2^{33004021122313} is an apocalyptic number.

It is an amenable number.

33004021122313 is a deficient number, since it is larger than the sum of its proper divisors (9591184127).

33004021122313 is a wasteful number, since it uses less digits than its factorization.

33004021122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287867.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 33004021122313 its reverse (31322112040033), we get a palindrome (64326133162346).

The spelling of 33004021122313 in words is "thirty-three trillion, four billion, twenty-one million, one hundred twenty-two thousand, three hundred thirteen".