3421261221313 has 8 divisors (see below), whose sum is σ = 3695368208168. Its totient is φ = 3148716098304.

The previous prime is 3421261221299. The next prime is 3421261221347. The reversal of 3421261221313 is 3131221621243.

It can be written as a sum of positive squares in 4 ways, for example, as 34457754384 + 3386803466929 = 185628^2 + 1840327^2 .

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-3421261221313 is a prime.

It is a super-3 number, since 3×3421261221313³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3421261221353) 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, 390461406 + ... + 390470167.

It is an arithmetic number, because the mean of its divisors is an integer number (461921026021).

Almost surely, 2^{3421261221313} is an apocalyptic number.

It is an amenable number.

3421261221313 is a deficient number, since it is larger than the sum of its proper divisors (274106986855).

3421261221313 is a wasteful number, since it uses less digits than its factorization.

3421261221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780931923.

The product of its digits is 10368, while the sum is 31.

Adding to 3421261221313 its reverse (3131221621243), we get a palindrome (6552482842556).

The spelling of 3421261221313 in words is "three trillion, four hundred twenty-one billion, two hundred sixty-one million, two hundred twenty-one thousand, three hundred thirteen".