3413211331201 has 32 divisors (see below), whose sum is σ = 3998632919040. Its totient is φ = 2853298224000.

The previous prime is 3413211331163. The next prime is 3413211331223. The reversal of 3413211331201 is 1021331123143.

It is not a de Polignac number, because 3413211331201 - 2⁷ = 3413211331073 is a prime.

It is a super-3 number, since 3×3413211331201³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3413211335201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17841085 + ... + 18031381.

It is an arithmetic number, because the mean of its divisors is an integer number (124957278720).

Almost surely, 2^{3413211331201} is an apocalyptic number.

It is an amenable number.

3413211331201 is a deficient number, since it is larger than the sum of its proper divisors (585421587839).

3413211331201 is a wasteful number, since it uses less digits than its factorization.

3413211331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190765.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 3413211331201 its reverse (1021331123143), we get a palindrome (4434542454344).

The spelling of 3413211331201 in words is "three trillion, four hundred thirteen billion, two hundred eleven million, three hundred thirty-one thousand, two hundred one".