33022100332013 has 8 divisors (see below), whose sum is σ = 36788546789400. Its totient is φ = 29430837430848.

The previous prime is 33022100332009. The next prime is 33022100332019. The reversal of 33022100332013 is 31023300122033.

It can be written as a sum of positive squares in 4 ways, for example, as 1092616550089 + 31929483781924 = 1045283^2 + 5650618^2 .

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 33022100332013 - 2² = 33022100332009 is a prime.

It is a super-2 number, since 2×33022100332013² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33022100332013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33022100332019) 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, 43795888658 + ... + 43795889411.

It is an arithmetic number, because the mean of its divisors is an integer number (4598568348675).

Almost surely, 2^{33022100332013} is an apocalyptic number.

It is an amenable number.

33022100332013 is a deficient number, since it is larger than the sum of its proper divisors (3766446457387).

33022100332013 is a wasteful number, since it uses less digits than its factorization.

33022100332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87591778111.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 33022100332013 its reverse (31023300122033), we get a palindrome (64045400454046).

The spelling of 33022100332013 in words is "thirty-three trillion, twenty-two billion, one hundred million, three hundred thirty-two thousand, thirteen".