33412314130221 has 256 divisors, whose sum is σ = 54487041638400. Its totient is φ = 18022155264000.

The previous prime is 33412314130193. The next prime is 33412314130241. The reversal of 33412314130221 is 12203141321433.

It is not a de Polignac number, because 33412314130221 - 2¹⁵ = 33412314097453 is a prime.

It is a super-2 number, since 2×33412314130221² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33412314130241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14211957196 + ... + 14211959546.

It is an arithmetic number, because the mean of its divisors is an integer number (212840006400).

Almost surely, 2^{33412314130221} is an apocalyptic number.

It is an amenable number.

33412314130221 is a deficient number, since it is larger than the sum of its proper divisors (21074727508179).

33412314130221 is a wasteful number, since it uses less digits than its factorization.

33412314130221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 33412314130221 its reverse (12203141321433), we get a palindrome (45615455451654).

The spelling of 33412314130221 in words is "thirty-three trillion, four hundred twelve billion, three hundred fourteen million, one hundred thirty thousand, two hundred twenty-one".